Positive Solutions of Boundary Value Dynamic Equations

Authors

Olusegun Michael Otunuga, Marshall UniversityFollow
Basant Karna, Marshall UniversityFollow
Bonita Lawrence, Marshall UniversityFollow

Document Type

Article

Publication Date

12-2014

Abstract

In this paper, we deal with the existence of a positive solution for 2^nd and 3^rd order boundary value problem by first defining their respective Green’s function. The Green’s function is used to derive the Green’s function for the 2nth and 3nth order boundary value problem, respectively, where n is a positive integer. The Green’s function is also used to derive conditions for positive solution of the 2nth and 3nth order eigen value differential equation, respectively.

Comments

The copy of record is available from the publisher at http://dx.doi.org/10.15640/arms.v2n2a4.

Copyright © 2014 The Authors. All rights reserved.

Recommended Citation

Otunuga O. M., Karna B., & Lawrence B. (2014). Positive Solutions of Boundary Value Dynamic Equations. American Review of Mathematics and Statistics, 2(2), 1-6.