Bapurao C. Dhage, Shyam B. Dhage
Abstract:
In this article we prove the existence and approximations of solutions
of periodic boundary-value problems of second-order ordinary nonlinear
hybrid differential equations. We rely our results on Dhage iteration
principle or method embodied in a recent hybrid fixed point theorem of
Dhage (2014) in partially ordered normed linear spaces. Our resutls
are proved under weaker continuity and Lipschitz conditions.
An example illustrates the theory developed in this article.
Submitted November 6, 2014. Published January 27, 2015.
Math Subject Classifications: 34A12, 34A38.
Key Words: Hybrid differential equation;
periodic boundary value problems; Dhage iteration method;
hybrid fixed point theorem; approximate solution.
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Bapurao C. Dhage Kasubai, Gurukul Colony, Ahmedpur-413 515 Dist: Latur Maharashtra, India email: bcdhage@gmail.com | |
Shyam B. Dhage Kasubai, Gurukul Colony, Ahmedpur-413 515 Dist: Latur Maharashtra, India email: sbdhage4791@gmail.com |
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