Stability Theory for Dynamic Equations on Time Scales

• Main Author: Martynyuk, Anatoly A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Series: Systems & Control: Foundations & Applications,
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; System theory.; Dynamical Systems and Ergodic Theory.; Systems Theory, Control.

This monograph is a first in the world to present three approaches for stability analysis of solutions of dynamic equations. The first approach is based on the application of dynamic integral inequalities and the fundamental matrix of solutions of linear approximation of dynamic equations. The secon...

Table of Contents:

• Contents
• Preface
• 1 Elements of Time Scales Analysis
• 2 Method of Dynamic Integral Inequalities
• 3 Lyapunov Theory for Dynamic Equations
• 4 Comparison Method
• 5 Applications
• References.