Faedo–Galerkin method for impulsive second-order stochastic integro-differential systems

Surendra Kumar and Paras Sharma

Chaos, Solitons & Fractals, 2022, vol. 158, issue C

Abstract: This paper studies impulsive second-order stochastic differential systems in a separable Hilbert space X. By using the projection operators, we restrict the given problem to a finite-dimensional subspace. The existence and convergence of estimated solutions for the considered problem are investigated via the theories of cosine family and fractional powers of a closed linear operator. We also examine the existence and convergence of the Faedo–Galerkin approximate solutions. At last, we are constructed some examples to demonstrate the effectiveness of the obtained results.

Keywords: Stochastic differential equation; Analytic semigroup; Cosine family of linear operators; Mild solution; Fixed point theory; Faedo–Galerkin technique (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922001564

DOI: 10.1016/j.chaos.2022.111946

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