Publication Date

2014

Document Type

Dissertation/Thesis

First Advisor

Kong, Qingkai, 1946-

Degree Name

Ph.D. (Doctor of Philosophy)

Legacy Department

Department of Mathematical Sciences

LCSH

Mathematics

Abstract

In this dissertation, we study the nonlinear, non-local boundary value problem consisting of the second order equation -( p(t)y') ' + q(t) = w( t)f(y) on [a,b] and one of two boundary conditions involving a Riemann-Stieltjes integral. By relating the problems to the eigenvalues of the corresponding linear Sturm-Liouville problem with a two-point separated boundary condition, we obtain results on the existence and nonexistence of nodal solutions to these problems. The shooting method and a generalized energy function are used to prove the main results. We also discuss the changes in the existence of different types of nodal solutions as the problem changes. Finally, we examine a more general differential equation with multiple terms on the right hand side.

Comments

Advisors: Qingkai Kong.||Committee members: Bernard Harris; Linda Sons; Zhuan Ye.

Extent

100 pages

Language

eng

Publisher

Northern Illinois University

Rights Statement

In Copyright

Rights Statement 2

NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.

Media Type

Text

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