Yaping Yuan, Jiong Sun, Anton Zettl
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.
Submitted July 28, 2017. Published October 19, 2017.
Math Subject Classifications: 34B20, 34B24, 47B25.
Key Words: Periodic coefficients; eigenvalue inequalities and equalities.
Show me the PDF file (282 KB), TEX file for this article.
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Yaping Yuan School of Mathematical Sciences Inner Mongolia University Hohhot, China email: yaping_yyp@qq.com |
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Jiong Sun School of Mathematical Sciences Inner Mongolia University Hohhot, China email: 272454707@qq.com |
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Anton Zettl Mathematics Deparment Northern Illinois University DeKalb, IL, USA email: zettl@msn.com |
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