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.
Recommended Citation
Chamberlain, Jeremy E., "Nodal solutions of nonlocal integral boundary value problems" (2014). Graduate Research Theses & Dissertations. 4124.
https://huskiecommons.lib.niu.edu/allgraduate-thesesdissertations/4124
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
Comments
Advisors: Qingkai Kong.||Committee members: Bernard Harris; Linda Sons; Zhuan Ye.