Abstract
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.
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The author would like to thank the editor and the anonymous referee for their valuable suggestions and comments leading to improvement in the presentation of this paper.
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Van Loi, D., Van Tuan, T. Stability analysis for a class of semilinear nonlocal evolution equations. Bol. Soc. Mat. Mex. 29, 46 (2023). https://doi.org/10.1007/s40590-023-00517-z
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DOI: https://doi.org/10.1007/s40590-023-00517-z