Dhage iteration method for approximating positive solutions of quadratic functional differential equations
Authors :
Bapurao C. Dhage1
Author Address :
1Kasubai, Gurukul Colony, Thodga Road, Ahmedpur-413515, Dist. Latur, Maharashtra, India
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.
DOI :
Article Info :
Received : October 12, 2017; Accepted : December 22, 2017.
