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

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Abstract

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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Acknowledgements

The authors sincerely thank the reviewers for their careful reading, comments and suggestions to improve the quality of the manuscript.

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Authors and Affiliations

  1. Department of Mathematics, Tamilnadu College of Engineering, Coimbatore, 641 659, Tamil Nadu, India

    P Indhumathi

  2. Department of Mathematics, Anna University Regional Centre, Coimbatore, 641 046, Tamil Nadu, India

    A Leelamani

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  1. P Indhumathi
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  2. A Leelamani
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Correspondence to P Indhumathi.

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Indhumathi, P., Leelamani, A. Existence and uniqueness results for mild solutions of random impulsive abstract neutral partial differential equation over real axis. Appl. Math. J. Chin. Univ. 33, 71–87 (2018). https://doi.org/10.1007/s11766-018-3449-4

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  • DOI: https://doi.org/10.1007/s11766-018-3449-4

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