Dhage iteration method for approximating positive solutions of quadratic functional differential equations

Bapurao C. Dhage

doi:10.26637/MJM0601/0001

Abstract

In this paper we prove the existence and approximation theorems for positive solutions of a couple of nonlinear first order quadratic hybrid functional differential equations with delay under certain mixed conditions of algebra, geometry and topology. We employ the Dhage iteration method embodied in a hybrid fixed point principle of Dhage (2014) involving the product of two operators in a partially ordered Banach algebra in the discussion. A couple of numerical examples are also provided to indicate the applicability of the abstract results to some concrete problems of quadratic functional differential equations.

Keywords:

Quadratic functional differential equation, Hybrid fixed point principle, Dhage iteration method, Existence and Approximation theorem

Mathematics Subject Classification:

Mathematics

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Bapurao C. Dhage Kasubai, Gurukul Colony, Thodga Road, Ahmedpur-413515, Dist. Latur, Maharashtra, India

Pages: 1-13
Date Published: 01-01-2018
Vol. 6 No. 01 (2018): Malaya Journal of Matematik (MJM)

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