Well‐posedness of second order differential equations with memory

Rodrigo Ponce

Mathematische Nachrichten, 2022, vol. 295, issue 11, 2246-2264

Abstract: In this paper we give characterizations of the existence and uniqueness of Hölder continuous solutions of certain abstract integro‐differential equation with memory in terms of a resolvent operator. Moreover, we give necessary conditions in order to ensure the existence and uniqueness of mild solutions on the real line.

Date: 2022
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https://doi.org/10.1002/mana.202000113

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