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Applied Integral Equations

Hvedri, Inassaridze

Tbilisi Mathematical Journal Collection of Special Issues, 2

TBILISI  -  MATHEMATICS

An Introduction to Calculus of variations and Integral Equations

Stability: Elements of the Theory and Applications with Examples

4. Lyapunov Direct Method

Frontmatter

Preface

Contents

1. Stability - What Is It, and What Is It For?

2. Linear Equations with Constant Coefficients

3. Nonlinear Integral Inequalities in the Stability Theory

5. Comparison Method and Stability of Motion

6. Stability Domains

7. Stability of Manifolds - Selected Subjects

8. Stability of Difference Equations

9. Stability in Delay Differential Equations

10. Stability of Partial Differential Equations

11. Stochastic Stability

12. Lyapunov Exponents and Chaotic Systems

References

Index

Martynyuk, Anatoliy A.

Radziszewski, Bogusław

Szadkowski, Andrzej

This book is intended to familiarize the readers with basic concepts, and classic results of stability theory stated in a way as required by the rigorous rules of contemporary mathematics and, simultaneously, to introduce the learners to broad elds of not only the stability theory but also applications involved. The emphasis is put on various dynamical systems which are defined by different branches of science and through diverse areas of human activity but always with care not to exceed the basic classical approach in the presentation.

This book is intended to familiarize the readers with basic concepts, and classic results of stability theory stated in a way as...

4. Lyapunov Direct Method - 4. Lyapunov Direct Method

4. Lyapunov Direct Method

Format

4. Lyapunov Direct Method

Anatoliy A. Martynyuk

Bogusław Radziszewski

Andrzej Szadkowski

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