Asymptotic Analysis of the First Eigenvalue for Sturm-Liouville Problems With Applications

主讲人：綦建刚 山东大学教授

时间：2022年11月2日19：00

地点：腾讯会议 171 890 882

举办单位：数理学院

内容介绍：This talk is about the properties of the first eigenvalues for Sturm-Liouville problems. The accurate asymptotic formula of the first eigenvalue on the ``jump set” is given. The results indicate that the asymptotic behaviors is only related to the values of the coefficients of the equation in the neighborhood of the end points. With an application in biology mathematics, we discuss the monotonicity of the first eigenvalue with respect to parameters involved in both equations and boundary conditions. The infimum of the parameter which guarantee the monotonicity of the first eigenvalue is obtained.