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
Dr. Jeffrey T. Neugebauer
Department/Professional Affiliation
Associate Professor
Access Options
Restricted Access Thesis
Degree Name
Honors Scholars
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
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