Stability and boundedness of solutions to a certain third-order neutral integro-differential equation with constant delay

In this work, we examine a third-order nonlinear neutral integro-differential equation with constant delay. By building a Lyapunov functional, we obtain some sufficient criteria that ensure the asymptotic stability and boundedness of solutions for an analyzed equation. We present two examples to dem...

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Bibliographic Details
Published inBoundary value problems Vol. 2024; no. 1; pp. 133 - 17
Main Author Mahmoud, Ayman M.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 17.10.2024
Hindawi Limited
SpringerOpen
Subjects
Analysis
Approximations and Expansions
Boundary value problems
Boundedness
Difference and Functional Equations
Differential equations
Integro-differential equation
Local and NonLocal Boundary value Problems
Lyapunov functional
Mathematics
Mathematics and Statistics
Neutral
Ordinary Differential Equations
Partial Differential Equations
Stability
Stability criteria
Neutral
Lyapunov functional
34K50
Stability
34C11
34D20
Boundedness
Integro-differential equation
34K20
60H35
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Summary:In this work, we examine a third-order nonlinear neutral integro-differential equation with constant delay. By building a Lyapunov functional, we obtain some sufficient criteria that ensure the asymptotic stability and boundedness of solutions for an analyzed equation. We present two examples to demonstrate the applicability of our conclusions, which extend and improve several well-known results in the literature.
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/s13661-024-01939-y