Instability intervals for Hill’s equation with symmetric single-well potential

• Datum: 2019
• Hauptverfasser: Başkaya, E., Coşkun, H., Kabataş, A., Башкая, Е., Кошкун, Х., Кабаташ, А.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2019
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1481
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 We deduce some explicit estimates for the periodic and semiperiodic eigenvalues and the lengths of the instability intervals of Hill’s equation with symmetric single-well potentials by using an auxiliary eigenvalue problem. We also give bounds for the gaps of the Dirichlet and Neumann eig...