Globally exponential stability of a partial stochastic differential equation with pseudo almost periodic coefficients and infinite delay

Zuomao Yan () and Li Han
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Zuomao Yan: Hexi University
Li Han: Hexi University

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 1, 241-264

Abstract: Abstract In this paper, we give sufficient conditions for the globally exponential stability of p-mean piecewise pseudo almost periodic mild solutions of a class of impulsive partial stochastic differential equations with infinite delay in Hilbert spaces. Our working tools are based on the fixed-point theorem for condensing maps combined with theory of operator semigroups and the stochastic analysis techniques. To illustrate our main result, we study the globally exponential stability of the neutral stochastic model arising in physical systems with infinite delay.

Keywords: Impulsive partial stochastic differential equations; Globally exponential stability; P-mean piecewise pseudo almost periodic functions; Infinite delay; Fixed point; 34A37; 60H10; 35B15; 34F05 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00065-0

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