On The Gaps Of Neumann Eigenvalues For Hill’ S Equation With Symmetric Double Well Potential

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Başkaya E.

4 th INTERNATIONAL CONFERENCE ON MATHEMATICS “An Istanbul Meeting for World Mathematicians” 27-30 October 2020, Istanbul, Turkey This conference is dedicated to 67th birthday of Prof. M. Mursaleen, 27 - 30 October 2020, pp.138

• Publication Type: Conference Paper / Summary Text
• Page Numbers: pp.138
• Karadeniz Technical University Affiliated: Yes

Abstract

A symmetric double well potential on [0,a] is defined as symmetric with respect to midpoint a/2 and quarter point a/4 and nonincreasing on [0,a/4]. In this study, some gaps between eigenvalues are minimized and maximized for Hill’ s equation with Neumann boundary conditions when the potential is symmetric double well.