English

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

Classical Analysis and ODEs 2024-02-09 v1

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.

Keywords

Cite

@article{arxiv.2203.07891,
  title  = {On the solvability of a parameter-dependent cantilever-type BVP},
  author = {Gennaro Infante},
  journal= {arXiv preprint arXiv:2203.07891},
  year   = {2024}
}

Comments

9 pages, 1 figure

R2 v1 2026-06-24T10:13:58.650Z