Table of Contents
Honoring Professor V. Lakshmikantham -- Preface -- Contributors -- New Results on Local Existence for Quasilinear Parabolic Systems -- Paolo Acquistapace -- A New Analysis for Nonlinear Systems /G. Adomian -- Oscillatory and Periodic Solutions of Advanced Differential Equations with Piecewise Constant Argument /A.R. Aftabizadeh and Joseph Wiener -- Existence of Optimal Relaxed Controls for Differential Inclusions on Banach Space /N.U. Ahmed -- Time-Dependent Volterra Equations in Hilbert Space /Sergiu Aizicovici -- The Superposition Operator in Spaces of Measurable and Continuous Functions /Jurgen Appell -- Generalized Singular Points in Products of Semi-dynamical Systems /Prem N. Bajaj -- Hopf Bifurcation for Two Dimensional Periodic Differential Systems /S.R. Bernf'eld -- Change of Sign of the Solutions to Some Parabolic Problems /F. Bernis -- Existence of a Solution to a Nonlinear Elliptic Problem in Non Variational Form /Marco Biroli -- On Integral Transforms Appearing in the Derivation of the Equations of an Aeroelastic System /John A, Bums, Eugene M. Cliff, Terry L. Herdman and Janos Turi -- Krasovskii's Stability Theory /To A. Burton, A. Casal and A. Somolinos -- Consequences of the Duality Map Taking Planes to Planes /Bruce D. Calvert and Simon Fitzpatrick -- A Nonlinear Singular Parabolic Initial Boundary Value Problem /C.Y. Chan and C.S. Chen -- On the Monotone Iterative Technique for Nonlinear Volterra Type Integro-Differential Equation in Banach Space /Yubo Chen -- The Time Optimal Control Theory of Nonlinear Systems of Neutral Type /E.N. Chukwu -- A Singular Perturbation Approach to Abstract Volterra Equations /Constantin Corduneanu -- Efficient Numerical Methods for Optimal Control Problems Via the Calculus of Variations /Bohan Dalpatadu and John Gregory -- Limiting Temperature Jumps in Surface Controlled Exothermic Reactions /Paul Davis and Jagdish Chandra -- Some Open Problems in Ordinary Differential Equations and Fixed Points of (Weakly Inward) Maps in Banach Spaces /Klaus Deimling -- Stability Analysis of Continuous Dynamical Systems with Discrete Controllers /W. Desch, A.N, Michel, B.K. Miller and M. Mousa -- Semilinear Elliptic Equations in Rn /Allan L. Edelson -- Some Remarks on Nonlinear Dichotomy and Trichotomy /S. Elaydi and 0. HcCjek -- Boundary Value Problems for Second Order Differential Equations /L• Erbe and K. Schmitt -- A System of Functional Differential Equations Modeling Threshold Phenomena /J.A. Gatica and P. Waltman -- Degenerate Nonlinear Parabolic Boundary Problems /Jerome A, Goldstein and Chin-Yuan Lin -- Coupling Induced Instability of Synchronous Oscillations /K. Gopalsamy -- Particle Modeling by Systems of Nonlinear Ordinary Differential Equationss /Donald Greenspan -- Some Fixed Point Theorems of Expansion and Compression Type with Applications /Dajun Guo -- Boundary Value Problems Involving Reflection of the Argument /Chaitan P. Gupta -- On a Theorem of Elias for Difference Equations /Darrel Hankerson and Allan Peterson -- Local Controllability of a Single Input, Affine System /H. Hermes and Matthias Kawski -- A Bifurcation Theorem for Nonlinear Equations /Huang Wenzao -- Nonlinear Input-Output Systems /L.R. Hunt, Mladen Luksio and Reno eng Su -- Least-Squares Finite Element Approximation of Nonlinear Problems /B.N. Jiang and G.F. Carey -- The Method of Mixed Monotony and Second Order Boundary Value Problems /Mohammad Khavanin and V. Lakshmikantham -- Numerical Solutions to Stochastic Difference Equations /G.S. Ladde and M. Sambandham -- On Near-Optimum Regulators for Large Scale Systems /G.S. Ladde and 0. Sirisaengtaksin -- On the Existence of a Solution to an It6-Volterra Equation /Marica Lewin -- Positive Solutions of Steady States of Predator-Prey Systems /Lige Li -- The Differentiability of Semigroups Generated by w-Accretive Operators /Guizhong Liu -- On the Local Dynamical System Associated to a Fully Nonlinear Abstract Parabolic Equation /Alessandra Lunardi -- A Fully Nonlinear Boundary Value Problem for the LaPlace Equation /Rolando Magnanini -- Converting a Min-Max Problem into a State Constrained Problem /Negash G. Medhin -- Singular Nonlinear Oscillator Equations /Ronald E. Mickens -- Variational Approach to Differential Equations and Representation of Lagrangians in Certain Biological Models /K.N. Murty -- On Nonlinear Ill-Posed Problems I: Classes of Operator Equations and Minimization of Functionals /M. Z. Nashed -- A Maximum Principle in Nonlinear Fourth Order Elliptic Equations /Edward C. Nichols and Philip W. Schaefer -- Hukahara-Kneser Property for Nonlinear Boundary Value Problems /Juan J. Nieto -- A Qualitative Analysis of a Class of Gas-Solid Reactions /N. Namik Oguztoreli and Baki 'Ozum -- Fixed Points of Multi-Mappings Related to Minimization Problems /D.V. Pai and S.A Naimpally -- Periodic Kolmogorov Biological Systems /Houyao Pan and Zhiming Zhou -- Monotone Methods for Numerical Solution of Reaction-Diffusion Equations /C.V. Pao -- An Optimal (?) Elliptic Solver /Fred R. Payne and. Moshen Mahmoudi -- Some Qualitative Problems in the Theory of Partial Differential Equations /Andrzej Pelczar -- About Linearization, Conization, Calmness, Openness and Regularity /Jean-Paul Penot -- A New and Unified Theorem for the Solvability of xGT(x) in Cones with T k-Set-Contractive /W. V. Petryshyn -- Quasilinear Systems, Semigroups and Nonlinear Coupling /George H. Pimbley -- Bounded Solutions of Nonlinear Hyperbolic Equations with Delay /H. Poorkarimi and J. Wiener -- Left Subinverses and Monotone Iterations for Nonlinear Operator Equations /Florian A. Potra -- A Positivity Method for Linear Volterra Equations /Jan Pruss -- Equations for the Dynamics of a Josephson Junction and a Phase-Locked Loop /Qian Min and Zhang Jinyan -- Stochastic Systems Under Quadratic Payoff /A.N.V. Rao and Chris P. Tsokos -- M -Stability for Integro-Differential Equations /M. Rama Mohana Rao -- Integral Equations, Hyperconvex Spaces and the Hilbert Ball /Simeon Reich -- Free Boundary Stability in the One Phase Stefan Problem /Jose* Francisco Rodrigues -- Reachable Sets, Limit Sets and Holding Sets in Control Systems /Emilio 0. Roxin -- Invariant Spectral Manifolds and Normal Form for the Navier-Stokes Equations with Potential Forces /Jean-Claude Saut -- Oscillation of Solutions of a Population Equation with Delay /George Seifert -- Existence of Solutions to Volterra Functional Integral Equations with Infinite Delay /Seppo Seikkala -- A Remark on the Existence of Three Solutions via Sub-Super Solutions /Ratnasingham Shivaji -- The Method of Upper and Lower Solutions and the Interval Method for Second Order Differential Equations /S. Sivasundaram -- A Note on the Hartman-Stampacchia Theorem /Michel Thera -- Monotone Iterative Technique for Singular Systems of Differential Equations /A. S. Vatsala -- Multidimensional Solitary Waves: Explicit Examples and Scattering Theory /Henry A. Warohall -- The Regularity of Minimizers /S.Walter Wei -- Control of Beams and Plates: Location of Actuators /L.W. White -- Some Results on Equations with Unbounded Delay /Taro Yoshizawa -- 3-Dimensional Gradient Conjugate Systems and its Applications /Zhang Jinyan -- What Inflences on the Number of Limit Cycles of Li£nard Equation /Zhang Zhifen -- Some Fundamental Properties of Solutions for Initial Value Problem of Nonlinear Volterra Type Integro-Differential Equation in Abstract Spaces /Wan Zhuang -- Nonatomic Neutral Functional Differential Equations /John A. Burns> Terry L. Herdman and Janos Turi -- Index.
