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

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Restricted Access Thesis

Degree Name

Honors Scholars

Department

Mathematics and Statistics

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