Journal
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
Volume -, Issue 12, Pages 1-10Publisher
UNIV SZEGED, BOLYAI INSTITUTE
DOI: 10.14232/ejqtde.2016.1.12
Keywords
third-order differential equation; nonlinear boundary value conditions; the method of upper and lower solutions; iterative technique
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Funding
- Program for Scientific Research Innovation Team in Colleges and Universities of Shandong Province
- Doctoral Program Foundation of Education Ministry of China [20133705110003]
- Natural Science Foundation of Shandong Province of China [ZR2014AM007]
- National Natural Science Foundation of China [11571197]
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In this paper, we study the existence of extremal solutions for a nonlinear third-order differential equation with three-point nonlinear boundary value conditions. By means of the method of upper and lower solutions and different monotone iterative techniques, the sufficient conditions which guarantee the existence of extremal solutions are given. An example illustrates the main results.
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