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Existence Results for Quasilinear Random Impulsive Neutral Differential Equation with Delay


Affiliations
1 Department of Mathematics, Erode Arts and Science College, Erode – 638009, Tamil Nadu, India
 

In this article, we study the existence of mild solutions of quasilinear random impulsive neutral functional differential equations with delay in Banach spaces. Our results are based on the Schauder fixed point approach. Moreover, an example using the main results is shown in this article.

Keywords

Fixed Point Theorem, Neutral Differential Equation, Quasilinear, Random Impulse.
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  • Existence Results for Quasilinear Random Impulsive Neutral Differential Equation with Delay

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Authors

K. Malar
Department of Mathematics, Erode Arts and Science College, Erode – 638009, Tamil Nadu, India
R. Ilavarasi
Department of Mathematics, Erode Arts and Science College, Erode – 638009, Tamil Nadu, India
P. Kokilavani
Department of Mathematics, Erode Arts and Science College, Erode – 638009, Tamil Nadu, India

Abstract


In this article, we study the existence of mild solutions of quasilinear random impulsive neutral functional differential equations with delay in Banach spaces. Our results are based on the Schauder fixed point approach. Moreover, an example using the main results is shown in this article.

Keywords


Fixed Point Theorem, Neutral Differential Equation, Quasilinear, Random Impulse.

References





DOI: https://doi.org/10.15613/sijrs%2F2020%2Fv7i1-2%2F210557