On fourth order retarded equations with functional boundary conditions: a unified approach

Abstract

By means of a recent Birkhoff-Kellogg type theorem, we discuss the solvability of a fairly general class of parameter-dependent fourth order retarded differential equations subject to functional boundary conditions. We seek solutions within a translate cone of nonnegative functions. We provide an example to illustrate our theoretical results.

13 pages

References in corpus (2)

• An affine Birkhoff--Kellogg type result in cones with applications to functional differential equations
• On the solvability of a parameter-dependent cantilever-type BVP

Cited by in corpus (2)

• A Birkhoff-Kellogg type theorem for discontinuous operators with applications
• On the solvability of parameter-dependent elliptic functional BVPs on annular-like domains