Rectangles of positive eigenvalues with positive eigenfunctions of nonlinear multiparameter coupled systems
This paper is considering a multiparameter nonlinear system of boundary-value problems, which are related to the Abel-Whittaker expansion. The authors follow standard techniques, particularly Krasnoselskii's cone fixed point theorems to study the existence of rectangles of positive eigenvalues and associated positive eigenfunctions of the system. By a rectangle the authors mean a bounded rectangle of \(R^2\) or an infinite strip.
higher order Lidstone and Whittaker problems
multiparameter nonlinear system of boundary value problems
scientific article; zbMATH DE number 7433411
scientific article