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Asymptotic behavior of solutions of impulsive neutral nonlinear partial differential equations with distributed delay

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Abstract

In this paper, the problem of asymptotic behavior of solutions for impulsive neutral partial differential equations has been investigated. Using Riccati transform method and impulsive differential inequalities, some new sufficient conditions are derived for a solution of the proposed equation which converges to zero. Finally, the effectiveness of the derived main results has been shown in numerical section.

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Authors and Affiliations

  1. PG and Research Department of Mathematics, Thiruvalluvar Government Arts College (Affiliated to Periyar University, Salem - 636 011), Rasipuram, Namakkal (Dt), 637 401, Tamil Nadu, India

    V. Sadhasivam, K. Logaarasi & T. Raja

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  1. V. Sadhasivam
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  2. K. Logaarasi
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  3. T. Raja
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All authors contributed equally to the manuscript and typed, read, and approved the final manuscript.

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Correspondence to V. Sadhasivam.

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Sadhasivam, V., Logaarasi, K. & Raja, T. Asymptotic behavior of solutions of impulsive neutral nonlinear partial differential equations with distributed delay. J Anal 27, 241–257 (2019). https://doi.org/10.1007/s41478-018-0121-6

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  • DOI: https://doi.org/10.1007/s41478-018-0121-6

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