New results of positive solutions for second-order nonlinear three-point integral boundary value problems

Volume 8, Issue 2, pp 93--98 http://dx.doi.org/10.22436/jnsa.008.02.02

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Authors

Zhijian Yao - Department of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China.

Abstract

In this paper, we investigate the existence of positive solutions for second-order nonlinear three-point integral boundary value problems. By using the Leray-Schauder fixed point theorem, some sufficient conditions for the existence of positive solutions are obtained, which improve the results of literature Tariboon and Sitthiwirattham [J. Tariboon, T. Sitthiwirattham, Boundary Value Problems, 2010 (2010), 1-11].

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Keywords

• Positive solution
• nonlinear three-point integral boundary value problems
• Leray-Schauder fixed point theorem.

MSC

•  34B15

References

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