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

• Date: 2019
• Main Authors: Başkaya, E., Coşkun, H., Kabataş, A., Башкая, Е., Кошкун, Х., Кабаташ, А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2019
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1481
• Journal Title: 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...