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Qualitative behaviour of local non-Lipschitz stochastic integrodifferential system with Rosenblatt process and infinite delay | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 5، دوره 15، شماره 12، اسفند 2024، صفحه 45-58 اصل مقاله (457.74 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.29778.4255 | ||
| نویسندگان | ||
| Essozimna Kpizim1؛ Ramkumar Kasinathan2؛ Ravikumar Kasinathan3؛ Khalil Ezzinbi4؛ Mamadou Abdoul Diop* 1 | ||
| 1Numerical Analysis and Computer Science Laboratory, Department of Mathematics, Gaston Berger University of Saint-Louis, UFR SAT, B.P:234, Saint-Louis, Senegal | ||
| 2Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641 046, India | ||
| 3Department of Mathematics, PSG college of Arts and Science, Coimbatore, 641 014, India | ||
| 4Universit´e Cadi Ayyad, Facult´e des Sciences Semlalia D´epartement de Math´ematiques B.P. 2390 Marrakech, Morocco | ||
| تاریخ دریافت: 10 بهمن 1401، تاریخ پذیرش: 05 آذر 1402 | ||
| چکیده | ||
| The objective of this paper is to investigate the existence and uniqueness of mild solutions for stochastic integrodifferential evolution equations in Hilbert spaces with infinite delay and a Rosenblatt Process. The main results of this discussion are provided by Grimmer's resolvent operator theory and stochastic analysis. The theory is demonstrated with an example. | ||
| کلیدواژهها | ||
| $C_0$-semigroup؛ Grimmer resolvent operator؛ stochastic functional integrodifferential equations؛ Rosenblatt process | ||
| مراجع | ||
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