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
JOURNAL OF ADVANCES IN MATHEMATICS

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Published

2014-02-22

Issue

Vol. 6 No. 3 (2014)

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Existence and uniqueness of solution of inhomogeneous semilinear evolution equation with nonlocal condition. (2014). JOURNAL OF ADVANCES IN MATHEMATICS, 6(3), 1044-1049. https://doi.org/10.24297/jam.v6i3.3660

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