World Congress of Nonlinear Analysts '92 : : Proceedings of the First World Congress of Nonlinear Analysts, Tampa, Florida, August 19-26, 1992 / / ed. by V. Lakshmikantham.
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| Other title: | I-IV -- Preface -- Table of Contents -- List of Participants -- Investigation of Oldrojt's viscoelastic model when viscous coefficient tends to zero -- Nonlinear PDE problems in electrophotography -- A special class of maximum principles with applications to nonlinear boundary value problems -- Nonlinear mathematics in nonacademic settings -- Motion of a graph by nonsmooth weighted curvature -- Some results on heat flow in electric conductors -- Global classical solutions to fully nonlinear wave equations -- Solitons and domains in dipole chains -- Nonlinear instabilities of steady and oscillatory wave convection in a rotating system -- Bifurcations and chaos in predator-prey models with delay -- On a new variant degree theory of mapping and its application -- Solvability of semilinear operator equations and periodic solutions of differential equations -- Solutions of semilinear equations in cones and wedges -- On a nonlinear elliptic problem with subcritical and critical Sobolev exponent -- Existence and bifurcation results for some semilinear elliptic equations on ℝN -- Some remarks about the existence of positive solutions for elliptic systems -- Sub- and supersolutions of nonlinear elliptic and parabolic problems -- Positive solutions and boundary value problems of singular and nonsingular type -- On the asymptotic behavior of laminar flow through a porous pipe -- The monotone method for third order boundary value problems -- Duality and variational principles for nonlinear hyperbolic equations -- Decay and global existence for some nonlinear dissipative wave equations -- On the philosophy of the spectral variable -- Wave propagation in uniaxial nonconducting nonlinear thermoelastic solids -- Approximation of dissipative hereditary systems -- Stefan problems in several space variables with dynamic boundary conditions -- Existence and multiplicity of periodic solutions for semilinear parabolic equations -- Boundary integral solution of a nonlinear heat conduction problem -- On the existence of travelling waves in reaction–diffusion systems -- The strong maximum principle for cooperative periodic-parabolic systems and the existence of principal eigenvalues -- Blowing-up of solutions of semilinear parabolic equations -- An existence and uniqueness theorem for solutions of nonlocal parabolic partial differential equations -- Open problems in nonlinear ordinary boundary value problems arising from the study of large-amplitude periodic oscillations in suspension bridges -- One species extinction in an autonomous competition model -- Periodic stability and reachability of nonlinear parabolic equations under boundary periodic perturbations -- A criterion for asymptotic stability based on topological degree -- Periodic solutions and subharmonic solutions for a class of planar systems of Lotka - Volterra type -- Periodic boundary value problems for impulsive integro-ordinary differential equations -- Some multiplicity results for subharmonic solutions to second order nonautonomous systems -- New results in quenching -- On the life span of solutions to nonlinear wave equations -- Conversion and penetration fronts in combustion -- The transition from decay to blow–up in some reaction–diffusion–convection equations -- Numerical Experiments on the Ginzburg-Landau Equations -- Counterexamples to the existence of inertial manifolds -- Inverse problems versus an algebraic spectral method for nonlinear evolution equations -- A finite difference scheme for an inverse heat equation -- Nonlinear ill-posed problems -- Maximum entropy regularization of nonlinear ill-posed problems -- Variational derivatives in function spaces -- Radial and nonradial solutions of a nonlinear scalar field equation -- A geometric method for the periodic problem -- Large perturbations of Toda lattices -- Distribution of mass principle and its applications to nonlinear elliptic equations -- Attractors of bipolar and non-Newtonian viscous fluids -- Nonlinear dynamics in the low Reynolds number cylinder wake -- The present status of the theory of the flow of a compressible viscous fluid through a pipe or parallel-wall channel -- Laminar and turbulent film flows -- Sensitivity equations for the k – ε turbulence model for ill-posed inverse problems in computational fluid dynamics -- Large-time behavior of reaction-diffusion systems modeling combustion with complex chemistry -- Stability analysis of the travelling wave solutions in burning solid propellants -- Stability of travelling waves in combustion problems: a fully nonlinear approach -- On the numerical analysis of buckling of general thin shells -- Random fields in nonlinear structural problems -- Geometrically nonlinear analysis of inelastic damaged shells -- Moderate rotations of shells under circulatory loading -- Further results on postbuckling behavior of shear deformable plates and shallow shells accounting for initial geometric imperfections -- Failure prediction in composite laminates according to the layerwise plate theory -- A theory for nonlinear static and transient analysis of composite laminates -- Numerical methods for ODEs with hysteresis -- P.D.E.s with hysteresis operators -- Some limit results for relays -- The Mróz model: A hysteresis operator for rate-independent plasticity -- A differential model of fatigue in elastoplastic materials -- Orientable and nonorientable minimal surfaces -- Continuation methods in nonlinear elasticity -- Bifurcation for variational inequalities and applications to elasticity -- Infinite dimensional integrals in classical, stochastic and quantum nonlinear problems -- Asymptotic formulas in capillarity -- An envelope theorem for weak solutions of quasilinear elliptic boundary value problems -- Group theoretical methods for finite-difference modeling -- Two parameter problems for the p-Laplacian -- Positive solutions of semilinear Neumann problems and Sobolev type inequalities -- A free boundary eigenvalue problem -- Measure valued solution of non-Newtonian compressible heat conductive fluid -- Asymptotics for a class of weakly nonlinear wave equations with applications to some problems -- Path optimization in flat and wrinkled labyrinths using arrays of active nonlinear circuits: traveling wave and its failure -- An Oregonator based model for the influence of a radial electric field on the dynamics of spiral waves -- Theorem about a weak impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities -- Products of distributions in mathematical physics -- A qualitative analysis of the potential and current driven semiconductor equations -- Author Index -- Differential-geometric computational methods for nonlinear problems -- Set-valued analysis, viability theory and partial differential inclusions -- Global stability, injectivity, and the Jacobian conjecture -- Theory of multipolar fluids -- Theory vs. relativity -- Difference equations and inequalities: a survey -- Invariant fiber bundles for nonautonomous difference systems -- Sign properties of Green's functions for difference equations -- Global Stability of Difference Equations -- Singular boundary value problems for higher order difference equations -- Asymptotic behavior and oscillation of general nonlinear difference equations -- Permanence and global attractivity in nonlinear difference equations -- Comparison theorems for a difference equation with memory -- Dichotomies for differential systems with impulsive effect -- Soliton-like solutions of the discrete wave equation -- Examples of Lyapunov functionals for non-differentiated equations -- A Lyapunov-Razumikhin method for functional differential equations -- Attractivity in nonautonomous equations by Liapunov's method -- New directions in the method of vector Lyapunov functions via cone valued Lyapunov functions -- A conjecture in Lyapunov method for functional differential equations -- Stability criteria for impulsive integro-differential equations -- Current state of the method of vector Lyapunov functions -- New approach to the dynamic programming for optimal control problems with state constraints -- Methods of stability theory for singularly perturbed problems with applications to dynamics -- On stability of steady motions of rigid body with liquid-filled cavity -- Some new trends in Lyapunov's direct method -- Uniform asymptotic stability in functional differential equations with finite delay -- Stability analysis of an HIV transmission model -- Stability of general ecological systems and neural networks systems -- On the asymptotic stability in differential systems by Lyapunov direct method -- Stability and attraction in impulsive semidynamical systems -- A universal integral invariant of non-autonomous dynamical systems -- Convergence in neutral equations with infinite delay arising from active compartmental systems -- An invariance principle of Lyapunov-Razumikhin type and compartmental systems -- On the existence of almost periodic solutions of nonlinear compartmental systems with time delays -- On numerical solutions for a class of nonlinear delay equations with time- and state-dependent delays -- Asymptotic periodicity in impulsive differential equations of retarded type with applications to compartmental models -- Variation of parameters formula and Lipschitz stability of nonlinear matrix differential equations -- Stability of a class of nonlinear continuous neural networks -- Roughness properties of (h, k)-dichotomies -- On the existence and qualitative properties of solutions for a nonlinear Neumann problem with critical exponent -- Behavior of nonoscillatory solutions of forced second order neutral delay equations -- Regularity and asymptotics of a similarity solution of an equation arising in boundary layer theory -- On solutions of a neutral equation with an oscillatory coefficient -- Asymptotic behavior of nonlinear neutral differential equations -- On oscillation of nonlinear first order differential equations with its application -- Topological and variational approaches for nonlinear oscillation: an extension of a Bhatia result -- Oscillation and nonoscillation of a class of neutral equations -- Positive nonlinear operators associated with isoperimetric eigenvalue problems in algebra -- Positive nonlinear systems: Some results and applications -- Random products of contractions -- Functional-differential equations with non-Volterra operator -- Searching for periodic orbits in a four dimensional symplectic map -- Nonlinear Gravito-electrodynamics - An Einstein's dream -- A geometric approach to optimal control -- A generalized implicit function theorem for equations with symmetry -- Bifurcation analysis of nonuniform flow patterns in axial-flow gas compressors -- Analysis of energy balance climate models -- A numerical method for solving nonlinear singular problems and application to bifurcation problems -- On the analysis of dynamic bifurcations and stability of solutions -- Limit theorems for dependent random variables -- The stochastic zero-sum differential games with measurement uncertainties -- On certain nonlinear difference and differential equations arising from optimal choice problems -- Near-optimal control of a class of stochastic systems under integral constraints -- Stability analysis of stochastic bilinear systems -- Existence of solutions of nonlinear stochastic differential inclusions on Banach space -- Bimodal nonparametric density estimation -- Conditional percentiles and their estimates for the additive model -- Sequential allocation for a nonlinear estimation problem -- Ergodic theorems for modulated stochastic processes -- Some new results in stochastic reaction-diffusion equations -- Stochastic evolution equations with non-coercive monotone operators -- Optimal control of arrival and service rates for two Μ / Μ / 1 queues in series -- Repairable system with different failure modes -- Differential inclusions and implicit equations on closed subsets of ℝn -- Recent trends in the theory of nonlinear functional differential equations -- Spherically symmetric solutions of semilinear wave equations -- Exchange of stability and bifurcation of tori in four dimensions -- Multivalued differential equations with time-dependent constraints -- Weighted inequalities with an arbitrary convex function -- Lower semicontinuity of multivalued mappings and equilibrium points -- Periodicity in delay difference systems -- A convexification algorithm for the modeling of nonlinear dynamic processes -- On the pulse phenomenon for impulsive differential equations -- Fourier spectral methods for a class of generalized KdV-Burgers equations with variable coefficients -- Structure of elastoplastic shock wave and numerical computation -- Automatic contours detection in image processing -- Second generation image coding and wavelet transform -- Segmentation by minimizing functionals and the merging methods -- Equivalence of various characterizations of the oscillatory / nonoscillatory classification for singular endpoints of fourth order selfadjoint differential equations -- Taylor recurrence in analytic O.D.E.'s -- Asymptotic behavior of difference equations -- Oscillation of solutions of arbitrary order neutral functional differential equations with forcing terms -- Method of Lyapunov-Lagrange functions for optimization of dynamic systems with information constraints -- Approximation methods for eigenvalue problems of Fredholm integral equations -- Mode interaction at a triple zero point of O(2)-symmetric nonlinear systems with two parameters -- Nonlinear elliptic systems arising from control theory and differential games -- Aspects of singular perturbation theory in physiology -- Quasi-variational systems -- New spectral representations of mixing dynamical systems -- Differential inclusions without convexity: A survey of directionally continuous selections -- Some problems of existence, uniqueness and regularity in the calculus of variations -- On the existence problem in the Calculus of Variations -- A class of upper semicontinuous differential inclusions without convexity -- Constructive aspects of fixed point theory for nonexpansive mappings -- On the growth properties of the homology of free loop spaces on configuration spaces -- Borsuk-Ulam theorems, the Lusternik-Schnirelmann category and index theories -- Monotone methods with applications to nonlinear analysis -- Spherical algorithms and evaluation of the fixed point set -- Fixed points of acyclic maps on topological vector spaces -- Convergence of Accretive Operators -- Existence of solutions of nonlinear equations with perturbations of monotone operators in reflexive Banach spaces -- Recent results involving compact perturbations and compact resolvents of accretive operators in Banach spaces -- Braess's paradox and power-law nonlinearities in networks II -- On the invertibility of I ± exp(—tA), t >0, with A maximal monotone -- A global existence theorem on nonlinear evolution equations -- Existence of solutions of nonlinear functional differential equations in Lp spaces -- The global attractor of the fifth order KdV equation -- On the blow-up of solutions to some semilinear parabolic systems arising in chemical reaction modelling -- Asymptotic behavior and periodic forcing in time for the solutions of a nonlinear system representing a phase change with dissipation -- Implicit functions defined by generalized equations -- Non-smooth sub differentials: their calculus and applications -- Generalized differentiation and stability of solution maps to parametric variational systems -- The linear nonconvex generalized gradient -- Second order necessary conditions for nonsmooth optimum problems with constraints -- Wellposedness of second-order nonlinear abstract differential equations with multivalued boundary conditions: Applications to von Kármán systems -- Some stability results for vector optimization problems in partially ordered topological vector spaces -- Some nonlinear results for abstract differential equations -- Some applications and extensions of P-coercive variational inequalities -- On semilinear wave equations at resonance -- Approximate solvability of nonlinear equations and related results in control theory -- The Newton-Kantorovich method for nonlinear integral operators -- A uniqueness theorem for a nonlinear integral equation of gravimetry -- Applications of Pareto optimality of a mapping to mathematical economics -- On ψ-minimal, P-monotone trajectories of nonautonomous differential inclusion in ℝN -- On the solution of some nonlinear boundary value problem -- Mathematical controllability theory of the growth of wealth of nations -- Bilateral interactions and aggregate fluctuations -- Short-run decisions on price, output, and inventories in a dynamic model of the firm -- Dynamical systems defined by infinite horizon optimal control problems -- Geometry and nonlinear differential equations -- Pareto solution of a cone variational inequality and Pareto optimality of a mapping -- Output tracking of nonanalytic trajectories for nonlinear systems -- Linearization and approximation of control systems -- The shape design problem for systems with distributed parameters -- Optimality conditions for controls of infinite dimensional systems -- Two norm approach in stability analysis of optimization and optimal control problems -- On nonlinear minimum norm control problems -- Generalizations of the Lusternik Theorem and applications to nonsmooth and abnormal problems in optimization and optimal control -- Optimal shape design of plates and shells with obstacles -- Some results on the viscosity solutions of fully nonlinear equations containing non-local terms -- Optimal control and relaxation of systems governed by Volterra integral equations -- A universal stabilizer for a class of nonlinear systems -- Computational methods for boundary optimal control of incompressible flows -- Computational hybrid-control techniques in hydrodynamics -- Optimal control problems of viscous flow -- A direct method for parameter estimation in distributed systems -- Uniformly stable approximation of the LQR problem -- On a mathematical model of phase transitions in materials with memory -- Overview of optimal trajectories for aeroassisted orbital transfer -- Long term planning of hydro-thermal power systems -- On the optimal drug administration of a discrete cancer chemotherapy model -- The neural network approach to several nonlinear control problems -- A unified computational approach to optimal control problems -- Some trajectory-following algorithms for min-max optimization -- On the usage and applications of parameter optimization software OptiA in constrained optimal control -- Construction of numerical solutions of permanent heavy waves of two liquids -- Asymptotic theorems about compression and expansion of cones in Banach spaces for multivalued maps differentiable at the origin and infinity -- Bayesian statistical approach to design of reliability models -- Determine optimal burn-in time for highly integrated circuit systems -- A nonhomogeneous Poisson process for software reliability -- Multiple category screening procedures -- Is your model chaotic? A consistent simulation-based test -- Economic models of survival under uncertainty -- Aggregation in mathematical models of manufacturing systems -- Nonlinear interaction dynamics of multiple mobile automata -- Some unsolved problems in optimal design theory: Interaction of mathematical modelling of large structural, mechanical or chemical systems with their design -- Stochastic stability and bifurcation analysis of gated radar trackers -- The twist-and-flip map -- Bifurcations and chaos from Chua's circuit: A state-of-the-art review -- Nonlinear dynamics in cellular neural networks -- CNN: A new paradigm of nonlinear dynamics in space -- Geometric invariants of chaotic attractors encountered in Chua's circuit -- Nonstandard methods in metric fixed point theory -- The minimax principle of mechanics and its application to the optimal control problem for robot manipulators -- On a fixed point theorem of Jungck -- A nonlinear ergodic theorem for almost-orbits of nonlinear contraction semigroups in Banach spaces -- A simple ODE with more than 20 strange attractors -- Applications of generalized functions to propagating and deforming interfaces -- Conservation laws for integro-differential equations -- Dynamics of neuro-muscular control with delayed displacement-dependent feedback -- Oscillations and chaos in nonlinear delay differential equations with applications to physiology -- Multiple-delayed differential equations as models for biological control systems -- Lattices with spatially extended coupling and the statistical properties of neural populations -- Dependence on initial conditions in nonlocal PDE's and hereditary dynamical systems -- Biased preference models for partnership formation -- AIDS in the Heterosexual Population -- Completion of mixing matrices for non-closed social networks -- Modelling vector-host disease transmission and food web dynamics through the mixing/pair formation approach -- Simple models for interactions of the HIV virus and the immune system: Can we point out to one specific threshold for the onset of AIDS? -- Variable infectivity in communicable disease models -- Stochastic and deterministic models in epidemiology -- A pair formation approach to modeling inheritance of social traits -- Information processing and practical implementation of “Biochemical neuron” -- Nonlinear control and self-organization -- Analysis of two hypothetical mechanisms of photosynthetic oscillations by means of mathematical skeleton models -- The theory of the control of metabolism -- Mathematical modelling of enzymic systems; simulation, control analysis and optimization -- Selection of enzymatic mechanisms which account for simplicity in the evolution of metabolic pathways -- Mathematical description of regulation in metabolic systems: The regulatory potential -- Self-activation and self-inactivation kinetics of enzymes: theoretical aspects and a mathematical model for the particulate prostaglandine synthase from ovine vesicular glands -- Power-law formalism: A canonical nonlinear approach to modeling and analysis -- S-system analysis of the TCA cycle in Dictyostelium discoideum -- A monomial-based version of Newton's method -- Assessment of the regulatory properties of a metabolic pathway: Parameter estimation from steady-state measurements -- How many variables? Some comments on the dimensionality of nonlinear systems -- Simple dynamical systems for bursting and spindling -- A two-component discrete dynamical model of the bursting rhythm caused by veratramine in the pacemaker of the heart -- On the clonal inheritance model of cell proliferation -- Emergence of stable DNA repeats from random sequences under unequal sister chromatid exchange -- A model for retrieving the dynamics of gene amplification from episomes to intrachromosomal amplification -- New mathematical methods for evaluating toxicity of anti-cancer drugs and AZT -- A particle method for population shock waves with application to synchronization of bacterial culture growth -- Simulation of drug-inhibited cell proliferation with a model of clonal inheritance of cell lifetimes -- Resonances in periodic chemotherapy scheduling -- A review of the effect of radiation transfer on the simulation of atmospheric circulations of different scales -- Effects of thermal forcing in atmospheric shear flows with critical level -- Baroclinic-barotropic instabilities and energy transfers in the Gulf Stream -- Turbulence structure in the atmospheric boundary layer – data and models -- A review of coupled ocean-atmosphere models -- Review of recent advances in the development of semi-Lagrangian numerical models in meteorology -- Atmospheric dispersion in low wind conditions -- A review of non-hydrostatic numerical models for the atmosphere -- The stagnant flow upstream of hills or mountains -- Micro-meteorological studies in air quality management -- Nonlinear analysis of stability, oscillations and control of immunological processes -- Mathematical modeling of cellular interaction dynamics in multicellular tumor spheroids -- Polynomial networks for optimal nonlinear filtering -- Analysis of the computational characteristics of adaptive resonance theory neural nets -- Differentiating and pruning multilayer feedforward neural networks -- Stability analysis of neural networks using vector Lyapunov functions -- Neural network approach to optimal filtering -- Signal recognition using a dynamic time warping neural network -- Development and analysis of a mathematical model for a plant-herbivore system -- The effects of asymmetric competition on competitive outcome -- Persistence in Kolmogorov population models with time delay -- Global variables and population dynamics prey-predator models with individual activity sequences -- The computer-aided study of dynamics in the system primary tumor, cytotoxic lymphocytes, metastases -- Folding at the genesis of chaos -- Ginzburg-Landau type models for superconductivity -- Time-dependent Ginzburg-Landau models for superconductivity -- Asymptotic analysis of the Ginzburg-Landau model of superconductivity: Reduction to a free boundary model -- Dynamics of Vortices in Superconductors -- Computation of Singular Solutions in the Micromagnetics of Thin Films -- Energy transport systems for semiconductors: Analysis and simulation -- Nonlinearities In Drift-Diffusion Semiconductor Modeling -- Some classes of iterative methods for finding zeros of polynomials and analytic functions -- Fine and coarse grained parallel implementations of polynomial root finding algorithms -- Divide and conquer techniques for the polynomial root-finding problem -- A unified approach to some classes of simultaneous inclusion methods for polynomial zeros -- WKB procedure for Schrödinger type difference equations -- Toward an efficient and stable determination of spectra of a general matrix and a more efficient solution of the Lyapunov equation -- Interfacial wave theory of dendritic growth and a comparison with experiments -- Thomas–Fermi model calculations of one and two dimensional lattices -- Author Index |
|---|---|
| Format: | Mode of access: Internet via World Wide Web. |
| ISBN: | 9783110883237 9783110637199 |
| DOI: | 10.1515/9783110883237 |
| Access: | restricted access |
| Hierarchical level: | Monograph |
| Statement of Responsibility: | ed. by V. Lakshmikantham. |
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