Title

Boundary Value Problems at Resonance

Author

Justin T. Bowman, Eastern Kentucky UniversityFollow

Abstract

We study the existence of solutions to the boundary value problem y''=h(t,y) satisfying the boundary conditions y(0) - y(1) =0 and cy'(0) + dy'(1) = 0. We use the shift method so that the problem is no longer at resonance. We also use the method of upper and lower solutions to obtain sufficient conditions for the existence of solutions to the boundary value problem.

Semester/Year of Award

Spring 2020

Mentor

Jeffrey T. Neugebauer

Mentor Department Affiliation

Mathematics and Statistics

Access Options

Restricted Access Thesis

Document Type

Bachelor Thesis

Degree Name

Honors Scholars

Degree Level

Bachelor's

Department

Mathematics and Statistics

Recommended Citation

Bowman, Justin T., "Boundary Value Problems at Resonance" (2020). Honors Theses. 738.
https://encompass.eku.edu/honors_theses/738