On the variety of solutions of 1-dimensional nonlinear eigenvalue problems
Dynamical Systems
2025-04-11 v1
Abstract
Second order nonlinear eigenvalue problems are considered for which the spectrum is an interval. The boundary conditions are of Robin and Dirichlet type. The shape and the number of solutions are discussed by means of a phase plane analysis. A new type of asymmetric solutions are discovered. Some numerical illustrations are given.
Keywords
Cite
@article{arxiv.2504.07548,
title = {On the variety of solutions of 1-dimensional nonlinear eigenvalue problems},
author = {Catherine Bandle and Simon Stingelin and Alfred Wagner},
journal= {arXiv preprint arXiv:2504.07548},
year = {2025}
}