Dhage Iteration Method for Nonlinear First Order Hybrid Functional Differential Equations of Second Type Linear Perturbations
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Keywords:Hybrid functional differential equation, Dhage iteration method, Existence and Approximation theorem
In this paper we prove the existence and approximation result for a first order nonlinear initial value problem of hybrid functional differential equations via construction of an algorithm. The main results rely on the Dhage iteration method embodied in a recent hybrid fixed point principle of Dhage (2014). An example is also furnished to illustrate the hypotheses and the abstract result of this paper.
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