Impulsive semilinear neutral functional differential inclusions with multivalued jumps

In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces. We rely on a fixed point theorem for the sum of completely continuous...

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Veröffentlicht in:	Applications of mathematics (Prague) 2011-04, Vol.56 (2), p.227-250
Hauptverfasser:	Abada, Nadjet, Agarwal, Ravi P., Benchohra, Mouffak, Hammouche, Hadda
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Banach space Banach spaces Classical and Continuum Physics Differential equations Inclusions Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Operators Optimization Studies Theorems Theoretical
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Zusammenfassung:	In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces. We rely on a fixed point theorem for the sum of completely continuous and contraction operators.
ISSN:	0862-7940 1572-9109
DOI:	10.1007/s10492-011-0004-5