具有Volterra噪声的随机积分方程的Ulam型稳定性

IF 0.3 Q4 STATISTICS & PROBABILITY

Random Operators and Stochastic Equations Pub Date : 2023-11-15 DOI:10.1515/rose-2023-2026

Sheila A. Bishop, Samuel A. Iyase

{"title":"具有Volterra噪声的随机积分方程的Ulam型稳定性","authors":"Sheila A. Bishop, Samuel A. Iyase","doi":"10.1515/rose-2023-2026","DOIUrl":null,"url":null,"abstract":"Abstract This paper concerns the existence, uniqueness and stability of solutions of stochastic Volterra integral equations perturbed by some random processes. The obtained results extend, generalize and enrich the theory of stochastic Volterra integral equations in literature. Lastly, for illustration, we give an example that agrees with the theoretical analysis.","PeriodicalId":43421,"journal":{"name":"Random Operators and Stochastic Equations","volume":"3 1","pages":"0"},"PeriodicalIF":0.3000,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Ulam type of stability for stochastic integral equations with Volterra noise\",\"authors\":\"Sheila A. Bishop, Samuel A. Iyase\",\"doi\":\"10.1515/rose-2023-2026\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract This paper concerns the existence, uniqueness and stability of solutions of stochastic Volterra integral equations perturbed by some random processes. The obtained results extend, generalize and enrich the theory of stochastic Volterra integral equations in literature. Lastly, for illustration, we give an example that agrees with the theoretical analysis.\",\"PeriodicalId\":43421,\"journal\":{\"name\":\"Random Operators and Stochastic Equations\",\"volume\":\"3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-11-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Random Operators and Stochastic Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/rose-2023-2026\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Random Operators and Stochastic Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/rose-2023-2026","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}

引用次数: 0

摘要

研究受随机过程扰动的随机Volterra积分方程解的存在性、唯一性和稳定性。所得结果扩展、推广和丰富了文献中的随机Volterra积分方程理论。最后，给出了一个与理论分析相吻合的实例。

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

On Ulam type of stability for stochastic integral equations with Volterra noise

Abstract This paper concerns the existence, uniqueness and stability of solutions of stochastic Volterra integral equations perturbed by some random processes. The obtained results extend, generalize and enrich the theory of stochastic Volterra integral equations in literature. Lastly, for illustration, we give an example that agrees with the theoretical analysis.

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

Random Operators and Stochastic Equations STATISTICS & PROBABILITY-

CiteScore

0.60

自引率

25.00%

发文量