Inequalities among eigenvalues of Sturm Liouville equations with periodic coefficients

Date
2017-10-19
Authors
Yuan, Yaping
Sun, Jiong
Zettl, Anton
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
It is well known that for h-periodic coefficients, every periodic eigenvalue on every interval [a,a+kh], k=2,3,4,..., is also an eigenvalue on the interval [a,a+h] of a periodic, semi-periodic or complex self-adjoint boundary condition. Here we give an explicit 1-1 correspondence between these eigenvalues.
Description
Keywords
Periodic coefficients, Eigenvalue inequalities and equalities
Citation
Yuan, Y., Sun, J., & Zettl, A. (2017). Inequalities among eigenvalues of Sturm Liouville equations with periodic coefficients. <i>Electronic Journal of Differential Equations, 2017</i>(264), pp. 1-13.