Stability of neutral Volterra integro-differential equations with infinite delay

Xiushuai Li and Jiao Jiang ()
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Xiushuai Li: Shanghai Maritime University
Jiao Jiang: Shanghai Maritime University

Partial Differential Equations and Applications, 2023, vol. 4, issue 2, 1-7

Abstract: Abstract This paper is concerned with stability of neutral Volterra integro-differential equations with infinite delay by constructing explicit Lyapunov functional. The stability, uniform stability and instability of the zero solution have been obtained for Volterra integro-differential equations. Some sufficient conditions are given to guarantee the stability of the zero solution.

Keywords: Stability; Infinite delay; Lyapunov functional; Integro-differential equation; 34K20; 34K05 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s42985-023-00226-2

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