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Dedicated to Professor S. Leela in recognition of her significant contribution to the field of nonlinear dynamics and differential equations, this text consists of 38 papers contributed by experts from 15 countries, together with a survey of Professor Leela's work. The first group of papers examines stability, the second process controls, and the third section contains papers on various topics, including solutions for new classes of systems of equations and boundary problems, and proofs of basic theorems. Many of the featured problems are associated with the ideas and methods proposed and developed by Professor Leela.
Introduction to the Series
Preface
A Survey of the Work of S. Leela
Oscillatory Property for Second-Order Nonlinear Difference Equations via Lyapunov’s Second Method
Asymptotic Behavior of Solutions of Limiting Differential Equations
Dissipation and Almost-Periodicity
Global Stability in a Hyperbolic Logistic Map with Eventually Fading Memory
Exponential Quality of Time-Varying Dynamical Systems: Stability and Tracking
Asymptotic Constancy of the Solutions of a Nonlinear Delay Equation
A Local Attractor for the Planar System ẋ = y, ẏ = – F(x, y)
Stability of Moving Invariant Sets
Stability of n-Dimensional Inhomogeneous Delay Differential Equations
Uniform Boundedness for Impulsive Systems of Integro-Differential Equations
A Contraction Principle
Monotone Iterates and Stability for First-Order Ordinary Differential Equations
Periodicity and Stability of Semigroups via “λᴷ ∈ ρ (Cᴷ) ⟹ λ ∈ ρ(C )”
Asymptotic Stability of Linear Delayed Systems without Instantaneous Dissipative Terms
Uniform Stability of a Delay Single Population Model
Control in Cardiac Components
Control of Nonlinear Delay Differential Economic Systems in W[SUP(1)][SUB(2)]
Controllability of Nonlinear Integro-Differential Systems
A Second-Order Dubovitskii-Milyutin Theory and Applications to Control
The Index for Control Systems
Linear Systems Governed by Operators Beyond Hille-Yosida Semigroups
Monotone Iterative Methods for Impulsive Hyperbolic Equations
Beyond Quenching for Singular Reaction-Diffusion Mixed Boundary-Value Problems
Neutral Functional Differential Equations with Abstract Volterra Operators
Existence and Multiplicity Results for a Dirichlet Problem with Two Parameters
Existence and Uniqueness of Solutions of Impulsive Integro-Differential Equations in Banach Spaces
A Nonlocal Multipoint Boundary-Value Problem at Resonance
The “Evolution” of Invariance Principles à la Liapunov’s Direct Method
First-Order Discontinuous Differential Equations with Functional Boundary Conditions
Focal Boundary-Value Problems for Singular Ordinary Differential Equations
Some Properties of Differential Equations in the Weak Topology of a Reflexive Banach Space
Finite-Dimensional Attractors for von Kármán Systems with Nonlinear Dissipation and Noncompact Nonlinearity
Dynamics of Weakly Coupled Parabolic Systems with Nonlocal Boundary Conditions
Convex Dependence of Solutions of Dynamic Systems on Time Scales Relative to Initial Data
Multipoint Methods for Linear Hamiltonian Systems
Global Existence of Solutions to a Class of Nonlinear Systems of Functional Differential Equations
Existence Principles for Nonlinear Integral Equations on Semi-Infinite Intervals and Half-Open Intervals
Controllability and Observability of Continuous Matrix Liapunov Systems
Author Index
Subject Index