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<p>In this paper, we explore square-mean asymptotically <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\varkappa\)</EquationSource> </InlineEquation>-periodic mild solutions from square mean <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\varkappa\)</EquationSource> </InlineEquation>-periodic limit for a stochastic integro-differential equations driven by Brownian motion, utilizing Grimmer’s resolvent and a version of Darbo’s fixed point theorem based on the degree of nondensifiability. Additionally, an example is given to illustrate our results.</p>

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Square mean asymptotically \(\varkappa\)-periodic solution for stochastic integro-differential equations via the degree of nondensifiability

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月21日

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  • Abdelhamid Bensalem,
  • Abdelkrim Salim,
  • Mouffak Benchohra,
  • Gaston N’Guérékata

摘要

In this paper, we explore square-mean asymptotically \(\varkappa\) -periodic mild solutions from square mean \(\varkappa\) -periodic limit for a stochastic integro-differential equations driven by Brownian motion, utilizing Grimmer’s resolvent and a version of Darbo’s fixed point theorem based on the degree of nondensifiability. Additionally, an example is given to illustrate our results.