Comparison Methods and Stability Theory

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.