Advances in Nonlinear Dynamics

S. Sivasundaram, A.A. Martynyuk, S. Sivasundaram, A.A. Martynyuk

• Publisher: CRC Press
• Year: 2023
• Print ISBN: 9789056990305
• eBook ISBN: 9781351468282
• Topic: Technology & Engineering
• Subtopic: Mechanical Engineering
• Index: Technology & Engineering

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
• Halftitle Page
• 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 W2(1)
• 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