On a Third-Order Three-Point Boundary Value Problem
Author(s) -
A. Guezane-Lakoud,
Nacira Hamidane,
Rabah Khaldi
Publication year - 2012
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2012/513189
Subject(s) - mathematics , boundary value problem , order (exchange) , third order , polynomial , value (mathematics) , nonlinear system , point (geometry) , fixed point theorem , mathematical analysis , geometry , philosophy , statistics , physics , theology , finance , quantum mechanics , economics
We consider a third-order three-point boundary value problem. We introduce a generalized polynomial growth condition to obtain the existence of a nontrivial solution by using Leray-Schauder nonlinear alternative, then we give an example to illustrate our results
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