World Congress of Nonlinear Analysts '92

ISBN-13: 9783110132151 / Angielski / Twarda / 1995 / 4000 str.

V. Lakshmikantham

Spis treści

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 ?N -- 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 d