Stability Analysis of Impulsive Functional Differential Equations

✍ Scribed by Ivanka M. Stamova

Year: 2009
Tongue: English
Leaves: 240
Series: De Gruyter expositions in mathematics; 52
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Frontmatter
Preface
Contents
Chapter 1. Introduction
1.1 Preliminary notes
1.2 Existence, uniqueness and continuability
1.3 Piecewise continuous Lyapunov functions
1.4 Comparison theorems
Chapter 2. Lyapunov stability and boundedness
2.1 Lyapunov stability of the solutions
2.2 Theorems on boundedness
Chapter 3. Extensions of stability and boundedness theory
3.1 Stability and boundedness of sets
3.2 Conditional stability
3.3 Parametric stability
3.4 Eventual stability and boundedness
3.5 Practical stability
3.6 Lipschitz stability
3.7 Stability in terms of two measures
3.8 Boundedness in terms of two measures
Chapter 4. Applications
4.1 Population models
4.2 Neural networks
4.3 Economic models
Bibliography
1-15
16-30
31-46
47-62
63-81
82-98
99-115
116-133
134-150
151-168
169-187
188-204
205-219
220-233
Index
Backmatter

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