Existence of solutions of a nonlinear eigenvalue problem and their properties
The authors investigate an eigenvalue problem for a nonautonomous second order ordinary differential equation on a closed interval. They derive the asymptotic formulae for the eigenvalues and the maxima of the eigenfunctions. They prove the existence of infinite numbers of positive and negative eigenvalues. In addition, they establish comparison theorems.
nonlinear problem of Sturm-Liouville type
scientific article; zbMATH DE number 7878628