Estimates of eigenvalues of self-adjoint boundary-value problems with periodic coefficients

• Datum: 1998
• Hauptverfasser: Zevin, A. A., Зевин, А. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1998
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4901
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider self-adjoint boundary-value problems with discrete spectrum and coefficients periodic in a certain coordinate. We establish upper bounds for eigenvalues in terms of the eigenvalues of the corresponding problem with averaged coefficients. We illustrate the results obtained in the case of...