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Florida Institute of Technology

Mathematics and System Engineering Faculty Publications

1998

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Full-Text Articles in Mathematics

Variational Lyapunov Method And Stability Theory, V. Lakshmikantham, Xinzhi Liu, S. G. Leela Jan 1998

Variational Lyapunov Method And Stability Theory, V. Lakshmikantham, Xinzhi Liu, S. G. Leela

Mathematics and System Engineering Faculty Publications

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.