Trends in the Theory and Practice of Non-Linear Analysis (eBook)

Proceedings of the VIth International Conference on Trends in the Theory and Practice of Non-Linear Analysis held at the University of Texas at Arlington, June 18-22, 1984

eBook Download: PDF

1985 | 1. Auflage
490 Seiten
Elsevier Science (Verlag)
978-0-08-087221-6 (ISBN)

Infos

Trends in the theory and practice of non-linear analysis

Inhalt

Front Cover 1
Trends in the Theory and Practice of Non-Linear Analysis 4
Copyright Page 5
Table of Contents 8
Preface 6
On the Solutions of Third Order Non-Linear Boundary Value Problems 12
Recent Results on Multipoint Boundary Value Problems for Higher Order Differential Equations 18
A Theory of Nonlinear Evolution Equations 28
Asymptotic Analysis of a Functional-Integral Equation Related to Cell Population Kinetics 38
On the B-Convergence of the 0-Method Over Infinite Time for Time Stepping for Evolution Equations 44
Filter Stability in Flows 52
Containment of Solutions to Strongly Coupled Parabolic Systems 56
Developments in Fixed Point Theory for Nonexpansive Mappings 66
Hopf Bifurcation with a General Transversality Condition 74
Stability Regions of Certain Linear Second Order Periodic Differential Equations 78
Well-Posedness of Functional Differential Equations with Nonatomic D Operators 82
Periodicity in Linear Volterra Equations 90
A Nonlinear Diffusion Epidemic System with Boundary Feedback 96
Applications of Admissibility for Volterra Integral Equations 102
Multiple Solutions for a Dirichlet Problem with Jumping Nonlinearities 108
Some Estimates for a System of Multiple Reactions 114
Qualitative Problems for Some Hyperbolic Equations 118
Viscosity Solutions of Hamilton-Jacobi Equations in Banach Spaces 126
Maximal Regularity for Abstract Differential Equations and Applications to the Existence of Periodic Solutions 132
A Finite Element Error Estimate for Regularized Compressible Flow 138
Some Results on Non-Resonant Non-Linear Delay Differential Equations 142
Asymptotics of Numerical Methods for Nonlinear Evolution Equations 148
Exponential Dichotomy of Nonlinear Systems of Ordinary Differential Equations 156
A Flow Associated with a Semiflow 166
A Method of Finding Critical Points of Nonlinear Functionals 172
Asymptotic Behavior of Nonlinear Functional Evolution Equations in Fading Memory Spaces 178
Friendly Spaces for Functional Differential Equations with Infinite Delay 184
The First Boundary Value Problem for Nonlinear Diffusion 194
An Asymptotic Analysis of a Reaction-Diffusion System 198
On a Nonlinear Hyperbolic Integrodifferential Equation with a Singular Kernel 204
Boundary Trajectories of Generalized Control Systems 212
Isolation of the Zeros of a Complex Polynomial by Exploring Function Structure Uniqueness of the Solution Set Established 218
Distal, Equicontinuous, Zero Characteristic, and Recurrent Dynamical Systems 228
On the Asymptotic Behavior of Solutions to Nonlinear Volterra Equations 234
Random Difference Inequalities 242
Singularly Perturbed Stochastic Differential Systems 252
Systems of First Order Partial Differential Equations and Monotone Iterative Technique 260
Improved a Posteriori Error Bounds for Quasilinear Boundary-Value Problems by the Method of Pseudolinear Equations 268
Periodic or Unbounded Solutions for a Class of Three-Dimensional ODE Systems with Biological Applications 274
The Phenomenon of Quenching: A Survey 286
Interpolation Between Spaces of Continuous Functions 298
Constructive Existence of Solution for Negative Exponent Generalized Emden-Fowler Nodal Problems 306
Existence Results for the Inverse Problem of the Volume Potential 312
Variational Problems Governed by a Multi-Valued Evolution Equation 316
On the Stability of Equilibrium for Periodic Mechanical Systems 320
Remarks on Time Discretization of Contraction Semigroups 326
Low-Dimensional Behavior of the Pattern Formation Cahn-Hilliard Equation 334
Stochastic Continuity and Random Differential Inequalities 348
Information Processing in Vertebrate Retina 356
Numerical Solution of Quasilinear Boundary Value Problems 368
Numerical Methods for Simultaneously Approaching Roots of Polynomials 374
The Parallel Sum of Generalized Gradients 382
An Exact, Direct, Formal Integral (DFI) Approach to Differential Equations 388
A Quasi-Autonomous Second-Order Differential Inclusion 398
On Systems with Transfer Functions Related to the Riemann Zeta Function 404
Limit Sets in Infinite Horizon Optimal Control Systems 412
Exchange of Stability and Bifurcation for Periodic Differential Systems 420
On Invariant Transformations of a Class of Evolution Equations 428
Cauchy Problem for Hyper-Parabolic Partial Differential Equations 432
Existence, Uniqueness, and Galerkin Approximations for Semilinear Periodically Forced Wave Equations at Resonance 438
Hopf Bifurcation for Periodic Systems 446
Remarks on Some Strongly Nonlinear Degenerate Sturm-Liouville Eigenvalue Problems 452
Point Data Boundary Value Problems for Functional Differential Equations 456
On the Use of Iterative Methods with Supercomputers for Solving Partial Differential Equations 466
A Non-Linear Result About Almost-Periodic Solutions of Abstract Differential Equations 478
A Mathematical Model for the Study of the Motion of a Mixture of Two Viscous Incompressible Fluids 480
A Survey of the Oscillation of Solutions to First Order Differential Equations with Deviating Arguments 486
Author Address List 496

Produkt-Details

• Erscheint lt. Verlag: 1.1.1985
• Mitarbeit: Herausgeber (Serie): V. Lakshmikantham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Naturwissenschaften
• Themenwelt: Technik
• ISBN-10: 0-08-087221-2 / 0080872212
• ISBN-13: 978-0-08-087221-6 / 9780080872216