English

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

Classical Analysis and ODEs 2024-10-16 v1

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.

Keywords

Cite

@article{arxiv.2209.04619,
  title  = {On fourth order retarded equations with functional boundary conditions: a unified approach},
  author = {Alessandro Calamai and Gennaro Infante},
  journal= {arXiv preprint arXiv:2209.04619},
  year   = {2024}
}

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13 pages