Existence and uniqueness of solution of inhomogeneous semilinear evolution equation with nonlocal condition

Haribhau Laxman Tidke; R. T. More

doi:10.24297/jam.v6i3.3660

Existence and uniqueness of solution of inhomogeneous semilinear evolution equation with nonlocal condition

Authors

Haribhau Laxman Tidke North Maharashtra University, Jalgaon
R. T. More Arts, Commerce and Science College, Bodwad, Jalgaon-425 310, India

DOI:

https://doi.org/10.24297/jam.v6i3.3660

Keywords:

Inhomogeneous semilinear evolution equation, Cone metric space, Fixed point theorem, Nonlocal condition.

Abstract

In this paper, we study the existence and uniqueness of solution of inhomogeneous semilinear evolution equation with nonlocal condition in cone metric space. The result is obtained by using the some extensions of Banach's contraction principle in complete cone metric space.

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Author Biographies

Haribhau Laxman Tidke, North Maharashtra University, Jalgaon

Department of Mathematics Assistant Professor

R. T. More, Arts, Commerce and Science College, Bodwad, Jalgaon-425 310, India

Department of Mathematics

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Published

2014-02-22

How to Cite

Tidke, H. L., & More, R. T. (2014). Existence and uniqueness of solution of inhomogeneous semilinear evolution equation with nonlocal condition. JOURNAL OF ADVANCES IN MATHEMATICS, 6(3), 1044–1049. https://doi.org/10.24297/jam.v6i3.3660