Comparison Methods and Stability Theory

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.

• 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 /Za,hia 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 Geometric Methods in 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 Respect 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 Principles 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 0. 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.