1st Edition

Comparison Methods and Stability Theory



ISBN 9780824792701
Published July 28, 1994 by CRC Press
384 Pages

USD $300.00

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Book Description

This work is based on the International Symposium on Comparison Methods and Stability Theory held in Waterloo, Ontario, Canada. It presents advances in comparison methods and stability theory in a wide range of nonlinear problems, covering a variety of topics such as ordinary, functional, impulsive, integro-, partial, and uncertain differential equations.

Table of Contents

On 2-Layer Free-Boundary Problems with Generalized Joining Conditions: Convexity and Successive Approximation of Solutions. Nonisothermal Semiconductor Systems. A Model for the Growth of the Subpopulation of Lawyers. Differential Inequalities and Existence Theory for Differential, Integral and Delay Equations. Monotone Iterative Algorithms for Coupled Systems of Nonlinear Parabolic Boundary Value Problems. Steady-State Bifurcation Hypersurfaces of Chemical Mechanisms. Stability Problems for Volterra Functional Differential Equations. Persistance (Permanence), Compressivity and Practical Persistance in Some Reaction-Diffusion Models from Ecology. Perturbing Vector Lyapunov Functions and Applications. On the Existence of Multiple Positive Solutions of Nonlinear Boundary Value Problems. Gradient and Gauss Curvature Bounds for H-Graphs. Some Applications of Geometry to Mechanics. Comparison of Even-Order Elliptic Equations. Positive Equilibria and Convergence in Subhomogeneous Monotone Dynamics. On the Existence of Extremal Solutions for Impulsive Differential Equations with Variable Time. Global Asymptotic Stability of Competitive Neural Networks. A Graph Theoretical Approach to Monotonicity with Respects to Initial Conditions. Set-Valued Techniques for Viability and Stabilization of Uncertain Systems. The Relationship Between the Boundary Behavior of and the Comparison Principals Satisfied by Approximate Solutions of Elliptic Dirichlet Problems. Comparison Principle for Impulsive Differential Equations with Variable Times.

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