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Corpus ID: 36399003

Approximating solutions of nonlinear second order ordinary differential equations via Dhage iteration principle

@inproceedings{Dhage2016ApproximatingSO,
title={Approximating solutions of nonlinear second order ordinary differential equations via Dhage iteration principle},
author={B. Dhage and S. B. Dhage and S. K. Ntouyas},
year={2016}
}

In this paper the authors prove algorithms for the existence as well as approximation of the solutions for an initial and a periodic boundary value problem of nonlinear second order ordinary differential equations. The main results rely on the Dhage iteration principle embodied in a recent hybrid fixed point theorem of Dhage (2013) in the partially ordered normed linear spaces and the numerical solution of the considered equations is obtained under weaker mixed partial continuity and partialâ€¦Â CONTINUE READING