无穷大时滞随机偏积分-微分脉冲方程解的存在唯一性

Q4 Mathematics

Advances in Dynamical Systems and Applications Pub Date : 2019-06-05 DOI:10.37622/adsa/14.1.2019.83-118

K. Ramkumar, A. G. Amoussou, C. Ogouyandjou, M. Diop

{"title":"无穷大时滞随机偏积分-微分脉冲方程解的存在唯一性","authors":"K. Ramkumar, A. G. Amoussou, C. Ogouyandjou, M. Diop","doi":"10.37622/adsa/14.1.2019.83-118","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the existence of mild solutions for a class of stochastic functional differential impulsive equations with inﬁnite delay on Hilbert space. The results are obtained by using the Banach ﬁxed point theorem and Krasnoselskii–Schaefer type ﬁxed point theorem combined with theories of resolvent operators. In the end as an application, an example has been presented to illustrate the results obtained.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"11 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence and Uniqueness of Mild Solutions of Stochastic Partial Integro-Differential Impulsive Equations with Infinite Delay via Resolvent Operator\",\"authors\":\"K. Ramkumar, A. G. Amoussou, C. Ogouyandjou, M. Diop\",\"doi\":\"10.37622/adsa/14.1.2019.83-118\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we investigate the existence of mild solutions for a class of stochastic functional differential impulsive equations with inﬁnite delay on Hilbert space. The results are obtained by using the Banach ﬁxed point theorem and Krasnoselskii–Schaefer type ﬁxed point theorem combined with theories of resolvent operators. In the end as an application, an example has been presented to illustrate the results obtained.\",\"PeriodicalId\":36469,\"journal\":{\"name\":\"Advances in Dynamical Systems and Applications\",\"volume\":\"11 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-06-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Dynamical Systems and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37622/adsa/14.1.2019.83-118\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Dynamical Systems and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37622/adsa/14.1.2019.83-118","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 0

摘要

本文研究了Hilbert空间上一类具有无限时滞的随机泛函微分脉冲方程温和解的存在性。利用Banach不动点定理和Krasnoselskii-Schaefer型不动点定理，结合可解算子理论，得到了上述结果。最后作为应用，给出了一个实例来说明所得到的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Existence and Uniqueness of Mild Solutions of Stochastic Partial Integro-Differential Impulsive Equations with Infinite Delay via Resolvent Operator

In this paper, we investigate the existence of mild solutions for a class of stochastic functional differential impulsive equations with inﬁnite delay on Hilbert space. The results are obtained by using the Banach ﬁxed point theorem and Krasnoselskii–Schaefer type ﬁxed point theorem combined with theories of resolvent operators. In the end as an application, an example has been presented to illustrate the results obtained.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Advances in Dynamical Systems and Applications Mathematics-Analysis

CiteScore

0.30

自引率

0.00%

发文量