Local and global existence and uniqueness of solution for abstract differential equations with state-dependent argument

Local and global existence and uniqueness of solution for abstract differential equations with state-dependent argument

We study the local and global existence and uniqueness of mild solution for a general class of abstract differential equations with state-dependent argument. In the last section, some examples on partial differential equations with state-dependent argument are presented.

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Bibliographische Detailangaben
Veröffentlicht in:Proceedings of the Edinburgh Mathematical Society 2023-05, Vol.66 (2), p.305-345
Hauptverfasser: Hernandez, Eduardo, Fernandes, Denis, Zada, Akbar
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical analysis
Ordinary differential equations
Partial differential equations
Uniqueness
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Beschreibung
Zusammenfassung:We study the local and global existence and uniqueness of mild solution for a general class of abstract differential equations with state-dependent argument. In the last section, some examples on partial differential equations with state-dependent argument are presented.
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091523000160