Advances in Nonlinear Dynamics

✍ Scribed by S. Sivasundaram, A.A. Martynyuk

• Publisher: CRC Press
• Year: 2021
• Tongue: English
• Leaves: 404
• Series: Stability and Control: Theory, Methods and Applications, 5
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Cover
Half Title
Series Page
Title Page
Copyright Page
Table of Contents
Introduction to the Series
Preface
1 A Survey of the Work of S. Leela
2 Oscillatory Property for Second-Order Nonlinear Difference Equations via Lyapunov’s Second Method
3 Asymptotic Behavior of Solutions of Limiting Differential Equations
4 Dissipation and Almost-Periodicity
5 Global Stability in a Hyperbolic Logistic Map with Eventually Fading Memory
6 Exponential Quality of Time-Varying Dynamical Systems: Stability and Tracking
7 Asymptotic Constancy of the Solutions of a Nonlinear Delay Equation
8 A Local Attractor for the Planar System ẋ = y, ẏ = – F(x, y)
9 Stability of Moving Invariant Sets
10 Stability of n-Dimensional Inhomogeneous Delay Differential Equations
11 Uniform Boundedness for Impulsive Systems of Integro-Differential Equations
12 A Contraction Principle
13 Monotone Iterates and Stability for First-Order Ordinary Differential Equations
14 Periodicity and Stability of Semigroups via “λᴷ ∈ ρ (Cᴷ) ⟹ λ ∈ ρ(C )”
15 Asymptotic Stability of Linear Delayed Systems without Instantaneous Dissipative Terms
16 Uniform Stability of a Delay Single Population Model
17 Control in Cardiac Components
18 Control of Nonlinear Delay Differential Economic Systems in W[SUP(1)][SUB(2)]
19 Controllability of Nonlinear Integro-Differential Systems
20 A Second-Order Dubovitskii-Milyutin Theory and Applications to Control
21 The Index for Control Systems
22 Linear Systems Governed by Operators Beyond Hille-Yosida Semigroups
23 Monotone Iterative Methods for Impulsive Hyperbolic Equations
24 Beyond Quenching for Singular Reaction-Diffusion Mixed Boundary-Value Problems
25 Neutral Functional Differential Equations with Abstract Volterra Operators
26 Existence and Multiplicity Results for a Dirichlet Problem with Two Parameters
27 Existence and Uniqueness of Solutions of Impulsive Integro-Differential Equations in Banach Spaces
28 A Nonlocal Multipoint Boundary-Value Problem at Resonance
29 The “Evolution” of Invariance Principles à la Liapunov’s Direct Method
30 First-Order Discontinuous Differential Equations with Functional Boundary Conditions
31 Focal Boundary-Value Problems for Singular Ordinary Differential Equations
32 Some Properties of Differential Equations in the Weak Topology of a Reflexive Banach Space
33 Finite-Dimensional Attractors for von Kármán Systems with Nonlinear Dissipation and Noncompact Nonlinearity
34 Dynamics of Weakly Coupled Parabolic Systems with Nonlocal Boundary Conditions
35 Convex Dependence of Solutions of Dynamic Systems on Time Scales Relative to Initial Data
36 Multipoint Methods for Linear Hamiltonian Systems
37 Global Existence of Solutions to a Class of Nonlinear Systems of Functional Differential Equations
38 Existence Principles for Nonlinear Integral Equations on Semi-Infinite Intervals and Half-Open Intervals
39 Controllability and Observability of Continuous Matrix Liapunov Systems
Author Index
Subject Index