Stability analysis for a class of semilinear nonlocal evolution equations

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
Hauptverfasser: Van Loi, Do, Van Tuan, Tran
Format: Artikel
Sprache:eng
Schlagworte:
Fixed points (mathematics)
Mathematical analysis
Mathematics
Mathematics and Statistics
Original Article
Partial differential equations
Stability analysis
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Zusammenfassung: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.
ISSN:1405-213X
2296-4495
DOI:10.1007/s40590-023-00517-z