Existence and uniqueness of global solution for abstract second order differential equations with state‐dependent delay

We study the global existence and uniqueness of solutions and wellposedness of a general class of second order differential equations with state dependent delay. Some examples are presented.

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Bibliographic Details
Published in:Mathematische Nachrichten 2022-01, Vol.295 (1), p.124-139
Main Author: Hernández, Eduardo
Format: Article
Language:English
Subjects:
abstract Cauchy problem
cosine function
Differential equations
Mathematical analysis
state‐dependent delay
Uniqueness
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Description
Summary:We study the global existence and uniqueness of solutions and wellposedness of a general class of second order differential equations with state dependent delay. Some examples are presented.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.201900463