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Global existence and stability for second order functional evolution equations with infinite delay
Author(s) -
Abdessalam Baliki,
Mouffak Benchohra,
John R. Graef
Publication year - 2016
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2016.1.23
Subject(s) - mathematics , stability (learning theory) , order (exchange) , mathematical analysis , mathematical economics , computer science , economics , finance , machine learning
In this article, the authors give sufficient conditions for existence and attractivity of mild solutions for second order semi-linear functional evolution equation in Banach spaces using Schauder’s fixed point theorem. An example is provided to illustrate the result.

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