On the solutions of nonlinear second order differential equation with finite delay

Haribhau Laxman Tidke

doi:10.24297/jam.v11i9.831

On the solutions of nonlinear second order differential equation with finite delay

Authors

Haribhau Laxman Tidke North Maharashtra University, Jalgaon

DOI:

https://doi.org/10.24297/jam.v11i9.831

Keywords:

Approximate solutions, second order, differential equation, integral inequality, explicit estimate, closeness of solutions. uniqueness and continuous dependence.

Abstract

The main aim of this paper is to study the approximate solutions, uniqueness and other properties of solutions of nonlinear second order differential equation with given initial values. A variant of the well known Gronwall-Bellman integral inequality with explicit estimate is used to establish the results.

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Author Biography

Haribhau Laxman Tidke, North Maharashtra University, Jalgaon

Assistant Professor

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Published

2016-01-09

How to Cite

Tidke, H. L. (2016). On the solutions of nonlinear second order differential equation with finite delay. JOURNAL OF ADVANCES IN MATHEMATICS, 11(9), 5666–5673. https://doi.org/10.24297/jam.v11i9.831