Existence and uniqueness results for mild solutions of random impulsive abstract neutral partial differential equation over real axis
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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.
Keywordsneutral equation Leray Schauder Alternative Banach Contraction Principle semigroup of linear operators
MR Subject Classification34K40 34A37 35A01 35A02
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The authors sincerely thank the reviewers for their careful reading, comments and suggestions to improve the quality of the manuscript.
- S Dhanalakshmi, R Murugesu, R Poongodi. Global existence for impulsive abstract partial neutral functional volterra-fredholm integrodifferential equations, Internat J Math Arch, 2013, 4: 214–230.Google Scholar
- H Yang, JG Liu, F Jiang. Exponential stability of jump-diffusion systems with neutral term and impulses, Math Probl Eng, 2015, Volume 2015, Article ID 192083, 7 pages.Google Scholar
- Y Hino, S Murakami, T Naito. Functional-Differential Equations with Infinite Delay, Lecture notes in Math, Vol 1473, 1991.Google Scholar
- V Lakshmikantham, DD Bainov, PS Simeonov. Theory of Impulsive Differential Equations, Series in Modern Applied Mathematics, Vol 6, World Scientific, Singapore, 1989.Google Scholar