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Multiplicity of positive solutions to M-point boundary value problem of second order impulsive differential equations

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Abstract

In this paper, by using Avery-Peterson theorem on a convex cone, we consider the m-point boundary value problems for second order impulsive differential equations with the nonlinear term depending on the first order derivative, the multiplicity result of three positive solutions are obtained.

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Authors and Affiliations

  1. Department of Mathematics, Xiangnan University, Chenzhou, 423000, China

    Yuan-sheng Tian

  2. School of Mathematics and LPMC, Nankai University, Tianjin, 300071, China

    Chun-gen Liu

Authors
  1. Yuan-sheng Tian
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  2. Chun-gen Liu
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Correspondence to Yuan-sheng Tian.

Additional information

Supported by the Scientific Research Foundation of Hunan Provincial Education Department (08C826) was also supported by the Aid Program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province, and the Construct Program of the Key Discipline in Hunan Province. Supported by the National Natural Science Foundation of China (No. 10531050), and the innovation group funds (10621101), 973 Program of MOST (2006CB805903).

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Tian, Ys., Liu, Cg. Multiplicity of positive solutions to M-point boundary value problem of second order impulsive differential equations. Acta Math. Appl. Sin. Engl. Ser. 26, 145–158 (2010). https://doi.org/10.1007/s10255-008-8231-6

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  • DOI: https://doi.org/10.1007/s10255-008-8231-6

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