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.
Preface
Contributors
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
Index
Biography
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.
