Kpizim, Essozimna, Kasinathan, Ramkumar, Kasinathan, Ravikumar, Ezzinbi, Khalil, Diop, Mamadou. (1403). Qualitative behaviour of local non-Lipschitz stochastic integrodifferential system with Rosenblatt process and infinite delay. هنرهای کاربردی, 15(12), 45-58. doi: 10.22075/ijnaa.2023.29778.4255
Essozimna Kpizim; Ramkumar Kasinathan; Ravikumar Kasinathan; Khalil Ezzinbi; Mamadou Abdoul Diop. "Qualitative behaviour of local non-Lipschitz stochastic integrodifferential system with Rosenblatt process and infinite delay". هنرهای کاربردی, 15, 12, 1403, 45-58. doi: 10.22075/ijnaa.2023.29778.4255
Kpizim, Essozimna, Kasinathan, Ramkumar, Kasinathan, Ravikumar, Ezzinbi, Khalil, Diop, Mamadou. (1403). 'Qualitative behaviour of local non-Lipschitz stochastic integrodifferential system with Rosenblatt process and infinite delay', هنرهای کاربردی, 15(12), pp. 45-58. doi: 10.22075/ijnaa.2023.29778.4255
Kpizim, Essozimna, Kasinathan, Ramkumar, Kasinathan, Ravikumar, Ezzinbi, Khalil, Diop, Mamadou. Qualitative behaviour of local non-Lipschitz stochastic integrodifferential system with Rosenblatt process and infinite delay. هنرهای کاربردی, 1403; 15(12): 45-58. doi: 10.22075/ijnaa.2023.29778.4255

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
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
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