Existence Results for Impulsive Neutral Stochastic Functional Integro-Differential Equations with Infinite Delays

In this paper, we prove the existence of mild solutions for a class of impulsive neutral stochastic functional integro-differential equations with infinite delays in an abstract space by means of the Krasnoselskii-Schaefer type fixed point theorem.

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Veröffentlicht in:	Acta applicandae mathematicae 2010-09, Vol.111 (3), p.303-317
Hauptverfasser:	Hu, Lanying, Ren, Yong
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Banach spaces Calculus of Variations and Optimal Control Optimization Computational Mathematics and Numerical Analysis Differential equations Hilbert space Mathematical analysis Mathematics Mathematics and Statistics Partial Differential Equations Probability Theory and Stochastic Processes Random variables Stochastic models Studies
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Beschreibung
Zusammenfassung:	In this paper, we prove the existence of mild solutions for a class of impulsive neutral stochastic functional integro-differential equations with infinite delays in an abstract space by means of the Krasnoselskii-Schaefer type fixed point theorem.
ISSN:	0167-8019 1572-9036
DOI:	10.1007/s10440-009-9546-x