首页|Faedo-Galerkin method for impulsive second-order stochastic integro-differential systems
Faedo-Galerkin method for impulsive second-order stochastic integro-differential systems
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NSTL
Elsevier
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. (c) 2022 Elsevier Ltd. All rights reserved.
Stochastic differential equationAnalytic semigroupCosine family of linear operatorsMild solutionFixed point theoryFaedo-Galerkin techniqueAPPROXIMATIONEQUATION
NSTL
Elsevier
