On the solvability of a parameter-dependent cantilever-type BVP

Abstract

We discuss the solvability of a parameter dependent cantilever-type boundary value problem. We provide an existence and localization result for the positive solutions via a Birkhoff-Kellogg type theorem. We also obtain, under additional growth conditions, upper and lower bounds for the involved parameters. An example is presented in order to illustrate the theoretical results.

9 pages, 1 figure

Cited by in corpus (3)

• An affine Birkhoff--Kellogg type result in cones with applications to functional differential equations
• On fourth order retarded equations with functional boundary conditions: a unified approach
• A Birkhoff-Kellogg type theorem for discontinuous operators with applications