Existence and uniqueness of solution for abstract differential equations with state-dependent delayed impulses

Existence and uniqueness of solution for abstract differential equations with state-dependent delayed impulses

We study the existence and uniqueness of mild and classical solutions for a general class of abstract impulsive differential equations with state-dependent impulses. Some examples on partial differential equations are presented.

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Veröffentlicht in:Journal of fixed point theory and applications 2019-03, Vol.21 (1), p.1-17, Article 36
Hauptverfasser: Hernández, Eduardo, Azevedo, Katia A. G., Gadotti, Marta C.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Impulses
Mathematical analysis
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Partial differential equations
Uniqueness
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Beschreibung
Zusammenfassung:We study the existence and uniqueness of mild and classical solutions for a general class of abstract impulsive differential equations with state-dependent impulses. Some examples on partial differential equations are presented.
ISSN:1661-7738
1661-7746
DOI:10.1007/s11784-019-0675-1