IJPAM: Volume 113, No. 2 (2017)

Title

APPROXIMATING SOLUTION OF AN INITIAL AND
A PERIODIC BOUNDARY VALUE PROBLEM FOR
FIRST ORDER QUADRATIC FUNCTIONAL
DIFFERENTIAL EQUATIONS

Authors

Dnyaneshwar V. Mule$^{1,2}$, Bhimrao R. Ahirrao$^3$
$^1$Department of Mathematics
North Maharashtra University
Jalgaon 425001, INDIA
$^2$Department of Mathematics
Mahatma Phule College
Kingaon, Ahmedpur, 413515, INDIA
$^3$Department of Mathematics
Z.B. Patil College
Dhule, 424002, INDIA

Abstract

In this paper we prove the algorithms for the existence and approximation of the solutions for an initial and a periodic boundary value problem of nonlinear first order ordinary hybrid quadratic functional differential equations via iteration method embodied in a recent hybrid fixed point principle of Dhage (2014) in a partially ordered normed linear space. A numerical example is also provided to illustrate the abstract theory developed in the paper.

History

Received: October 30, 2016
Revised: December 22, 2016
Published: March 19, 2017

AMS Classification, Key Words

AMS Subject Classification: 34A12, 34H34, 47H07, 47H10
Key Words and Phrases: Hybrid differential equation, Hybrid fixed point theorem, Approximation theorem.

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How to Cite?

DOI: 10.12732/ijpam.v113i2.6 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 113
Issue: 2
Pages: 251 -


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