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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