Journal of Applied Mathematics and Computing

, Volume 29, Issue 1–2, pp 153–161 | Cite as

Solution and positive solution of a semilinear third-order equation

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Abstract

In this paper, the boundary value problem of a semilinear third-order equation is considered. Making use of the upper and lower solutions method and a new maximum principle, the existence results and iterative formula of solution and positive solution are obtained.

Keywords

Third-order ordinary differential equation Upper and lower solutions method Maximum principle Positive solution 

Mathematics Subject Classification (2000)

34B15 
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Copyright information

© Korean Society for Computational and Applied Mathematics 2008

Authors and Affiliations

  1. 1.School of ScienceWuhan University of Science and TechnologyWuhanChina

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