Dhage Iteration Method for Nonlinear First Order Hybrid Functional Differential Equations of Second Type Linear Perturbations


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Authors

  • Bapurao C. Dhage Kasubai, Gurukul Colony Thodga Road, Ahmepur, Latur, Maharashtra, India
  • Namdev S. Jadhav Department of Mathematics, Madhavrao Patil College, Palam, Parbhani, Maharashtra, India
  • Jagnath N. Salunke School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded, Maharashtra, India
  • Anurudra Y. Shete School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded, Maharashtra, India

Keywords:

Hybrid functional differential equation, Dhage iteration method, Existence and Approximation theorem

Abstract

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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Published

15-12-2017

How to Cite

Bapurao C. Dhage, Namdev S. Jadhav, Jagnath N. Salunke, & Anurudra Y. Shete. (2017). Dhage Iteration Method for Nonlinear First Order Hybrid Functional Differential Equations of Second Type Linear Perturbations. International Journal of Mathematics And Its Applications, 5(4 - E), 605–614. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1316

Issue

Vol. 5 No. 4 - E (2017)

Section

Research Article

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