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A Series Approach to Perturbed Stochastic Volterra Equations of Convolution Type

A Series Approach to Perturbed Stochastic Volterra Equations of Convolution Type
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摘要 In the paper, perturbed stochastic Volterra Equations with noise terms driven by series of independent scalar Wiener processes are considered. In the study, the resolvent approach to the equations under consideration is used. Sufficient conditions for the existence of strong solution to the class of perturbed stochastic Volterra Equations of convolution type are given. Regularity of stochastic convolution is supplied, as well. In the paper, perturbed stochastic Volterra Equations with noise terms driven by series of independent scalar Wiener processes are considered. In the study, the resolvent approach to the equations under consideration is used. Sufficient conditions for the existence of strong solution to the class of perturbed stochastic Volterra Equations of convolution type are given. Regularity of stochastic convolution is supplied, as well.
机构地区 Faculty of Mathematics
出处 《Advances in Pure Mathematics》 2015年第11期660-671,共12页 理论数学进展(英文)
关键词 STOCHASTIC Linear Volterra EQUATION PERTURBED EQUATION Strong SOLUTION Resolvent Mild SOLUTION STOCHASTIC CONVOLUTION SERIES Approach Stochastic Linear Volterra Equation Perturbed Equation Strong Solution Resolvent Mild Solution Stochastic Convolution Series Approach
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