Stability analysis for a class of semilinear nonlocal evolution equations
Our aim is to analyze some sufficient conditions ensuring the global solvability and stability of solutions to a class of nonlocal partial differential equations with nonlinear term, which describes numerous processes involving memory. By using the theory of completely positive functions, local esti...
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| Veröffentlicht in: | Boletín de la Sociedad Matemática Mexicana 2023-07, Vol.29 (2), Article 46 |
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| container_title | Boletín de la Sociedad Matemática Mexicana |
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| creator | Van Loi, Do Van Tuan, Tran |
| description | Our aim is to analyze some sufficient conditions ensuring the global solvability and stability of solutions to a class of nonlocal partial differential equations with nonlinear term, which describes numerous processes involving memory. By using the theory of completely positive functions, local estimates and fixed point arguments, we obtain some results on asymptotic stability and existence of decay solutions to our problem. |
| doi_str_mv | 10.1007/s40590-023-00517-z |
| format | Article |
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| subjects | Fixed points (mathematics) Mathematical analysis Mathematics Mathematics and Statistics Original Article Partial differential equations Stability analysis |
| title | Stability analysis for a class of semilinear nonlocal evolution equations |
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