Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses

Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses

In this paper, using the theory of analytic semigroup and fractional power of closed operators we study the existence of solutions for a class of semi-linear abstract impulsive differential equations with not instantaneous impulses. Some applications involving partial differential equations with imp...

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Veröffentlicht in:Applied mathematics and computation 2013-02, Vol.219 (12), p.6743-6749
Hauptverfasser: Pierri, Michelle, O’Regan, Donal, Rolnik, Vanessa
Format: Artikel
Sprache:eng
Schlagworte:
Analytic [formula omitted]-semigroup
Computation
Differential equations
Group theory
Impulses
Impulsive differential equation
Mathematical analysis
Mathematical models
Mild solution
Operators
Partial differential equations
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Zusammenfassung:In this paper, using the theory of analytic semigroup and fractional power of closed operators we study the existence of solutions for a class of semi-linear abstract impulsive differential equations with not instantaneous impulses. Some applications involving partial differential equations with impulses are presented.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2012.12.084