This book is based on an International Conference on Trends in Theory and Practice of Nonlinear Differential Equations held at The University of Texas at Arlington. It aims to feature recent trends in theory and practice of nonlinear differential equations.

V. LAKSHMIKANTHAM is Professor and Chairman in the Department of Mathematics at the University of Texas at Arlington. In addition, he is coeditor of the journal Stochastic Analysis and Applications (Marcel Dekker, Inc.), editor of Nonlinear Analysis, and a member of the editorial boards of six other journals. He is an internationally known mathematician, having published several monographs and over 150 papers in the fields of ordinary and partial differential equations, nonlinear and stochastic analysis, and abstract differential equations.

CONTENTS -- Honoring Professor E. A. Coddington -- Preface -- Contributors -- Unbounded Perturbations and the Existence of Differentiable Solutions of the Cauchy Problem in Banach Space /Nazar Hussein Abdelaziz -- Escape Time by Fixed Point Theorem /A. R. Aftabizadeh -- Asymptotic Behaviour of Solutions of Nth Order Differential Equations with or without Delay /Olusola Akinyele and R. S. Dahiya -- Nonconstant Periodic Solutions of Nonlinear Differential Equations /Shair Ahmad and Francisco Montes de Oca -- Evolution Water Coning Problem /Y. Amirat, A. El Kolli and A. Ziani -- Conditions for Periodic Solutions to Hill?s Equation with an even Periodic Coefficient /Bernard A. Asner, Jr. -- Metrics and Tolerances /Prem N. Bajaj -- Global Existence for Nonlinear Second Order Differential Equations /John V. Baxley -- Asymptotically Nonresonant Nonlinear Equations /Ronald I. Becker -- Boundedness of Oscillatory Solutions of Fourth Order Linear Ordinary Homogeneous Differential Equations /Abdelali Benharbit -- A Neighborhood of the Hopf Singularity /S. R. Bernfeld -- Second Order Differential Systems with Generalized Nonlinear Boundary Conditions /S. R. Bernfeld -- Dynamics and Bifurcation in one Dimension /Louis Block and David Hart -- The Effect of Harvesting on Population Systems /Fred Brauer -- Invariants of Vortex Motions in the Plane /Jacob Burbea -- Instability and Stability in Volterra Equations /T. A. Burton and W. E. Mahfoud -- Alternating Bounds Converging to the Solution of a Semi-linear Euler-Poisson-Darboux Equation /C. Y. Chan -- Comparison Theorems and Stochastic Boundary Value Problems /Jagdish Chandra and G. S. Ladde -- Constrained Global Null Controllability of Nonlinear Delay Systems /Ethelbert N. Chukwu -- Spectral Theory for Symmetric Pairs of Ordinary Differential Operators /Earl A. Coddington -- Almost Periodic Solutions to Some Nonlinear Parabolic Equations /C. Corduneanu -- Conjugate Points and Disconjugacy of Second Order Systems /Fozi M. Dannan -