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.

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Bibliographic Details
Published inNonlinear analysis (Vilnius, Lithuania) Vol. 25; no. 3
Main Author Smirnov, Sergey
Format Journal Article
LanguageEnglish
Published Vilnius University Press 01.01.2020
Subjects
comparison methods for the first zero functions
nonexistence of solutions
third-order two-point boundary value problems
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Summary: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.
ISSN:1392-5113
2335-8963
DOI:10.15388/namc.2020.25.16776