Analysis of Functional and Neutral Differential Equations via Lyapunov Functionals-Reference-Cited by-同舟云学术

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Analysis of Functional and Neutral Differential Equations via Lyapunov Functionals

Published:2023-12-29 Issue: Volume:10 Page:120-136
ISSN:2409-5761
Container-title:Journal of Advances in Applied & Computational Mathematics
language:
Short-container-title:J. Adv. App. Comput. Math.

Author:

Raffoul Youssef N.^ORCID

Abstract

We employ Lyapunov types functions and functionals and obtain sufficient conditions that guarantee the boundedness and the exponential decay of solutions, stability and exponential stability of the zero solution in nonlinear delay and neutral differential systems. The theory is illustrated with several examples. 2000 Mathematics Subject Classification: Primary 39A13, 39A23; Secondary 34K42

Publisher

Avanti Publishers

Reference28 articles.

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4. Cheban DN. Uniform exponential stability of linear periodic systems in a banach space. Electron J Diff Eqns. 2001; 2001: 1-12.

5. Kato S. Existence, uniqueness and continous dependence of solutions of delay-differential equations with infinite delay in a Banach space. J Math Anal Appl. 1995; 195: 82-91. https://doi.org/10.1006/jmaa.1995.1343

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