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Existence results for quasilinear random impulsive abstract differential inclusions in Hilbert space

Existence results for quasilinear random impulsive abstract differential inclusions in Hilbert space In this paper, the existence of solutions for quasilinear random impulsive neutral functional differential inclusions are studied for both convex and non-convex cases in a real separable Hilbert space. The results are obtained by using the Martelli, Covitz and Nadler’s fixed point theorems and semigroup theory. An example is given as an application for the abstract results. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Analysis Springer Journals

Existence results for quasilinear random impulsive abstract differential inclusions in Hilbert space

The Journal of Analysis , Volume 27 (2) – Sep 5, 2018

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Forum D'Analystes, Chennai
Subject
Mathematics; Analysis; Functional Analysis; Abstract Harmonic Analysis; Special Functions; Fourier Analysis; Measure and Integration
ISSN
0971-3611
eISSN
2367-2501
DOI
10.1007/s41478-018-0132-3
Publisher site
See Article on Publisher Site

Abstract

In this paper, the existence of solutions for quasilinear random impulsive neutral functional differential inclusions are studied for both convex and non-convex cases in a real separable Hilbert space. The results are obtained by using the Martelli, Covitz and Nadler’s fixed point theorems and semigroup theory. An example is given as an application for the abstract results.

Journal

The Journal of AnalysisSpringer Journals

Published: Sep 5, 2018

References