Asymptotic behavior for differences of eigenvalues of two Sturm-Liouville problems with smooth potentials

作者：Wei, Guangsheng^*; Wang, Yan

来源：Journal of Mathematical Analysis and Applications, 2011, 377(2): 659-669.

DOI：10.1016/j.jmaa.2010.11.033

• Sturm-Liouville problem
• Eigenvalue
• Boundary condition

The asymptotics for the differences of the eigenvalues of two Sturm-Liouville problems defined on [0,pi] with the same boundary conditions and different smooth potentials is considered. Under the assumptions of that both problems with a suite of boundary conditions have the same one full spectrum and both potential functions and their derivatives are the same at the endpoint x = pi, the asymptotic expressions associated with other boundary conditions are provided.

• 出版日期2011-5-15
• 单位陕西师范大学