On perturbing lyapunov functions

Abstract

A new idea of perturbing Lyapunov functions is presented which permits one to discuss nonuniform properties of solutions of differential equations under weaker assumptions

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Authors and Affiliations

1. University of Texas at Arlington, Arlington, Texas, USA

   V. Lakshmikantham

2. State University of New York College at Geneseo, Geneseo, New York, USA

   S. Leela

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1. V. Lakshmikantham
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2. S. Leela
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Lakshmikantham, V., Leela, S. On perturbing lyapunov functions. Math. Systems Theory 10, 85–90 (1976). https://doi.org/10.1007/BF01683265

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• Received: 14 June 1974

• Accepted: 06 October 1975

• Issue Date: December 1976

• DOI: https://doi.org/10.1007/BF01683265

Keywords

• Differential Equation
• Computational Mathematic
• Lyapunov Function
• Weak Assumption
• Nonuniform Property