Random differential inequalities

by Ladde, G. S.

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Title Statements

Full title :Random differential inequalities / G.S. Ladde and V. Lakshmikantham.

Edition Statements

Publication Date:1980.

Publication Statements

Publisher(s):Academic Press
Place of Publication:New York
Language:eng
Publication Date:1980.

The Physical Object

Description:1 online resource (xi, 211 pages)

Edition Identifiers

ISBN:9780124327504, 0124327508, 9780080956589, 0080956580
oclc:ocn316568299
LC Classification:QA274.23
Dewey Decimal:515.3/5

Front Cover; Random Differential Inqualities; Copyright Page; Contents; Preface; Notations and Abbreviations; CHAPTER 1. Preliminary Analysis; 1.0 Introduction; 1.1 Events and Probability Measure; 1.2 Random Variables, Distribution Functions, and Expectations; 1.3 Convergence of Random Sequences; 1.4 Conditional Probabilities and Expectations; 1.5 Random Processes; 1.6 Separability of Random Processes; 1.7 Deterministic Comparison Theorems; Notes; CHAPTER 2. Sample Calculus Approach; 2.0 Introduction; 2.1 Sample Calculus; 2.2 Existence and Continuation; 2.3 Random Differential Inequalities

2.4 Maximal and Minimal Solutions2.5 Random Comparison Principle; 2.6 Uniqueness and Continuous Dependence; 2.7 The Method of Variation of Parameters; 2.8 Random Lyapunov Functions; 2.9 Scope of Comparison Principle; 2.10 Stability Concepts; 2.11 Stability in Probability; 2.12 Stability with Probability One; 2.13 Stability in the pth Mean; Notes; CHAPTER 3. Lp-calculus Approach; 3.0 Introduction; 3.1 Lp-Calculus; 3.2 Interrelationships between Sample and LP-Solutions; 3.3 Existence and Uniqueness; 3.4 Continuous Dependence; 3.5 Comparison Theorems; 3.6 Stability Criteria; Notes

CHAPTER 4. Itô-…

Subjects

Differential inequalities Équations différentielles stochastiques Gewone differentiaalvergelijkingen Inégalités différentielles MATHEMATICS -- Differential Equations Random walks (statistiek) Stochastic differential equations