Approximating positive solutions of nonlinear BVPs of ordinary second order hybrid differential equations

Bapurao Dhage; Janhavi Dhage

doi:10.26637/mjm1002/001

Abstract

In this paper we prove the existence and approximation of solution for a nonlinear two point boundary value problem of ordinary second order hybrid differential equations with Dirichlet boundary conditions via construction of an algorithm for the solution. The nonlinearity present on the right hand side of the differential equation is assumed to be Caratho\`eodory and the proof is based on a monotone iteration method of Dhage (2014) in an ordered Banach space.

Keywords:

Nonlinear boundary value problems, Hybrid differential equation, Dhage iteration method, Existence and approximation theorem

Mathematics Subject Classification:

34A45, 34B15, 47H07, 47H10

Authors Imprint References Funding Related Articles Downloads

Bapurao Dhage ``Kasubai, Gurukul Colony, Thodga Road, Ahmedpur-413 515, Dist. Latur, Maharashtra, India.
Janhavi Dhage `Kasubai, Gurukul Colony, Thodga Road, Ahmedpur-413 515, Dist. Latur, Maharashtra, India. https://orcid.org/0000-0002-2353-8618

Pages: 110-118
Date Published: 01-04-2022
Vol. 10 No. 02 (2022): Malaya Journal of Matematik (MJM)

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