Year: 2012
Author: Qingliu Yao
Communications in Mathematical Research , Vol. 28 (2012), Iss. 3 : pp. 209–217
Abstract
A class of third-order three-point boundary value problems is considered, where the nonlinear term is a Carathéodory function. By introducing a height function and considering the integration of this height function, an existence theorem of solution is proved when the limit growth function exists. The main tools are the Lebesgue dominated convergence theorem and the Schauder fixed point theorem.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2012-CMR-19042
Communications in Mathematical Research , Vol. 28 (2012), Iss. 3 : pp. 209–217
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: nonlinear ordinary differential equation multi-point boundary value problem existence.