Existence results for some partial stochastic integrodifferential equations with nonlocal conditions in Hilbert spaces

被引：3
|
作者：
Diop, Mamadou Abdoul [1 ,2 ]
Ezzinbi, Khalil [3 ]
Ly, Mamadou Pathe [1 ]
Ceesay, Baboucarr
机构：
[1] Univ Gaston Berger St Louis, UFR SAT Dept Math, BP 234, St Louis, Senegal
[2] UMMISCO UMI 209 IRD UPMC, Bondy, France
[3] Univ Cadi Ayyad, Fac Sci Semlalia, Dept Math, Bp 2390, Marrakech, Morocco
来源：
RESEARCH IN MATHEMATICS | 2022年 / 9卷 / 01期
关键词：
Mild solution; nonlocal condition; partial integrodifferential equation; resolvent operator; fixed point theorem; DIFFERENTIAL-EQUATIONS; RESOLVENT OPERATORS; EVOLUTION-EQUATIONS; INTEGRAL-EQUATIONS; REGULARITY;
D O I：
10.1080/27658449.2022.2043019
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present a framework for investigating the mild solution of stochastic integrodifferential equations with nonlocal initial conditions in Hilbert spaces. In order to obtain the existence results, we have made use of the ideas of fixed point theorems, stochastic analysis, and the resolvent operator in the sense of Grimmer. Finally, an example is provided to demonstrate the findings that were produced.
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页数：13
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