Existence and uniqueness results for mild solutions of random impulsive abstract neutral partial differential equation over real axis

In this paper, we discuss the existence and uniqueness of mild solutions of random impulsive abstract neutral partial differential equations in a real separable Hilbert space. The results are obtained by using Leray-Schauder Alternative and Banach Contraction Principle. Finally an example is given t...

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Veröffentlicht in:	Applied Mathematics-A Journal of Chinese Universities 2018-03, Vol.33 (1), p.71-87
Hauptverfasser:	Indhumathi, P, Leelamani, A
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Hilbert space Mathematics Mathematics and Statistics Partial differential equations Uniqueness
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Zusammenfassung:	In this paper, we discuss the existence and uniqueness of mild solutions of random impulsive abstract neutral partial differential equations in a real separable Hilbert space. The results are obtained by using Leray-Schauder Alternative and Banach Contraction Principle. Finally an example is given to illustrate our problem.
ISSN:	1005-1031 1993-0445
DOI:	10.1007/s11766-018-3449-4