Approximate Controllability Results for Neutral Stochastic Differential Equations of Sobolev Type with Unbounded Delay in Hilbert Spaces

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2018-12-12 DOI:10.18311/jims/2019/16122

R. Nirmalkumar, R. Murugesu

引用次数: 0

Abstract

In this paper, we discuss the approximate controllability of the neutral stochastic differential equations of Sobolev type with unbounded delay in Hilbert Spaces. A set of sufficient conditions are established for the existence and approximate controllability of the mild solutions using Krasnoselskii-Schaefer-type fixed point theorems and stochastic analysis theory. An application involving partial differential equation with unbounded delay is addressed.

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Hilbert空间中具有无界时滞的Sobolev型中立型随机微分方程的近似能控性结果

本文讨论了Hilbert空间中具有无界时滞的中立型Sobolev型随机微分方程的近似可控性。利用krasnoselskii - schaefer型不动点定理和随机分析理论，建立了温和解存在性和近似可控性的充分条件。讨论了一个涉及无界时滞偏微分方程的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

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0.00%

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期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.