Title

Variational Lyapunov method and stability theory

Authors

V. Lakshmikantham
Xinzhi Liu
S. G. Leela

Document Type

Article

Publication Title

Mathematical Problems in Engineering

Abstract

By unifying the method of variation of parameters and Lyapunov's second method, we develop a fruitful technique which we call variational Lyapunov method. We then consider the stability theory in this new framework showing the advantage of this unification.

First Page

555

Last Page

571

DOI

10.1155/S1024123X97000689

Publication Date

1998

Recommended Citation

Lakshmikantham, V., Liu, X., & Leela, S. (1998). Variational lyapunov method and stability theory. Mathematical Problems in Engineering, 3(6), 555-571. doi:10.1155/S1024123X97000689