Solvability for a Nonlinear Three-Point Boundary Value Problem with P-Laplacian-Like Operator at Resonance
Loading...
Authors
García-Huidobro, M.
Gupta, Chaitan P.
Manásevich, R.
Issue Date
2001
Type
Article
Language
Keywords
Alternative Title
Abstract
The purpose of this paper is to study the following three-point boundary value problem which contains the nonlinear operator (φ(u )) , φ(u ) = f (t, u, u ), u (a) = 0, u(η) = u(b), (1.1) where η ∈ (a, b) is given. We are interested in the case when problem (1.1) is at resonance, meaning by this that the associated three-point boundary value problem φ u (t) = 0 a < t < b, u (a) = 0, u(η) = u(b) (1.2) has the nontrivial solution u(t) = A, where A ∈ R is an arbitrary constant. For the linear operator, three-point boundary value problems at resonance have been recently studied in [3, 11].
Description
Citation
Publisher
License
Creative Commons Attribution 4.0 United States
Journal
Volume
Issue
PubMed ID
ISSN
1085-3375