A geometrical criterion for nonexistence of constant-sign solutions for some third-order two-point boundary value problems

We give a simple geometrical criterion for the nonexistence of constant-sign solutions for a certain type of third-order two-point boundary value problem in terms of the behavior of nonlinearity in the equation. We also provide examples to illustrate the applicability of our results.

Bibliographic Details
Main Author: Sergey Smirnov
Format: Article
Language:English
Published: Vilnius University Press 2020-05-01
Series:Nonlinear Analysis
Subjects:
Online Access:https://www.journals.vu.lt/nonlinear-analysis/article/view/16776