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

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
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Applications of Mathematics
Hilbert space
Mathematics
Mathematics and Statistics
Partial differential equations
Uniqueness
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description 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.
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subjects Applications of Mathematics
Hilbert space
Mathematics
Mathematics and Statistics
Partial differential equations
Uniqueness
title Existence and uniqueness results for mild solutions of random impulsive abstract neutral partial differential equation over real axis
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