1st Edition

Comparison Methods and Stability Theory

By Xinzhi Liu Copyright 1994
    384 Pages
    by CRC Press

    384 Pages
    by CRC Press

    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.



    On 2-Layer Free-Boundary Problems with Generalized Joining Conditions: Convexity and Successive Approximation of Solutions

    A. Acker

    Nonisothermal Semiconductor Systems

    W. Allegretto and H. Xie

    A Model for the Growth of the Subpopulation of Lawyers

    John V. Baxley and Peter A. Cummings

    Differential Inequalities and Existence Theory for Differential, Integral, and Delay Equations

    T. A. Burton

    Monotone Iterative Algorithms for Coupled Systems of Nonlinear Parabolic Boundary Value Problems

    Ying Chen and Xinzhi Liu

    Steady-State Bifurcation Hypersurfaces of Chemical Mechanisms

    Bruce L. Clarke

    Stability Problems for Volterra Functional Differential Equations

    C. Corduneanu

    Persistence (Permanence), Compressivity and Practical Persistence in Some Reaction-Diffusion Models from Ecology

    Chris Cosner

    Perturbing Vector Lyapunov Functions and Applications to Large-Scale Dynamic Systems

    Zahia Drici

    On the Existence of Multiple Positive Solutions of Nonlinear Boundary Value Problems

    L. H. Erbe and Shouchuan Hu

    Gradient and Gauss Curvature Bounds for H-Graphs

    Robert Finn

    Some Applications of Geometry to Mechanics

    Zhong Ge and W. F. Shadwick

    Comparison of Even-Order Elliptic Equations

    Velmer B. Headley

    Positive Equilibria and Convergence in Subhomogeneous Monotone Dynamics

    Morris W. Hirsch

    Blowup of Solution for the Heat Equation with a Nonlinear Boundary Condition

    Bei Hu and Hong-Min Yin

    On the Existence of Extremal Solutions for Impulsive Differential Equations with Variable Time

    Saroop Kaul

    Global Asymptotic Stability of Competitive Neural Networks

    Semen Koksal

    A Graph Theoretical Approach to Monotonicity with Respects to Initial Conditions

    H. Kunze and D. Siegel

    On the Stabilization of Uncertain Differential Systems

    A. B. Kurzhanski

    Comparison Principle for Impulsive Differential Equations with Variable Times

    V. Lakshmikantham

    The Relationship Between the Boundary Behavior of and the Comparison Principals Satisfied by Approximate Solutions of Elliptic Dirichlet Problems

    Kirk E. Lancaster

    Numerical Solutions for Linear Integro-Differential Equations of Parabolic Type with Weakly Singular Kernels

    Yanping Lin

    Impulsive Stabilization

    Xinzhi Liu and Allan R. Willms

    Comparison Methods and Stability Analysis of Reaction Diffusion Systems

    C. V. Pao

    Some Applications of the Maximum Principle to a Free Stekloff Eigenvalue Problem and to Spatial Gradient Decay Estimates

    G. A. Philippin

    Comparison Methods in Control Theory

    Emilio O. Roxin

    The Self-Destruction of the Perfect Democracy

    Rudolf Starkermann

    A Nonlinear Stochastic Process for Quality Growth

    Chris P. Tsokos

    An Extension of the Method of Quasilinearization for Reaction-Diffusion Equations

    A. S. Vatsala

    Geometric Methods in Population Dynamics

    M. L. Zeeman

    Uniform Asymptotic Stability in Functional Differential Equations with Infinite Delay

    Bo Zhang



    Xinzhi Liu is Associate Professor of Applied Mathematicsnat the Univerity of Waterloo, Ontario, Canada. The author or coauthor of over 60 professional papers and one monograph, Dr. Liu is a a member of the American Mathematical Soceity and thr Canadian Applied Mathematical Society. He received the B.Sc. degree (1982) in mathematics from Shandong Normal University, the People's Republic of China, and the M.sc.(1987) and Ph.D (1988) degrees in mathematical science from the University of Texas at Arlington. David Siegel is Associate Professor of Applied mathematics at the University of Waterloo, Ontario, Canada. The author or coauthor of over 20 professional papers, Dr. Siegel is a member of the American Mathematical Society and the Canadian Applied Mathematics Society. He received the B.A. degree(1973) in mathematics from the University of California, Los Angeles, and the M.S.(1976) and the Ph.D. (1978) degrees in mathematics from Stanford University, California.