arXiv subjects

Shaozhu Chen

Publications and source records attributed to Shaozhu Chen.

2 recordsLinked to original sources

arXiv2013

A priori bounds and existence of non-real eigenvalues of indefinite Sturm-Liouville problems

The present paper gives a priori bounds on the possible non-real eigenvalues of regular indefinite Sturm-Liouville problems and obtains sufficient conditions for such problems to admit non-real eigenvalues.

math.SP↗

arXiv2013

Estimates on the non-real eigenvalues of regular indefinite Sturm-Liouville problems

Regular Sturm-Liouville problems with indefinite weight functions may possess finitely many non-real eigenvalues. In this note we prove explicit bounds on the real and imaginary parts of these eigenvalues in terms of the coefficients of the differential expression.

math.SP↗