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Analysis of Functional and Neutral Differential Equations via Lyapunov Functionals

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Title: Analysis of Functional and Neutral Differential Equations via Lyapunov Functionals

Authors: Youssef N. Raffoul

Journal: Journal of advances in applied & computational mathematics

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Year: 2023

Volume: 10

Language: en

DOI: 10.15377/2409-5761.2023.10.11

Keywords: Exponential stabilityboundednessNeutralInfinite delayFunctional delayLyapunov functionals

Categories
Delay Differential Equations (3) Stability Theory (7) Functional Analysis (104) Differential Equations (206) Mathematics (5170)

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

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