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Singular multipoint impulsive boundary value problem with p-Laplacian operator

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Abstract

In this paper, we obtain the existence of multiple positive solutions for a class of multipoint impulsive boundary value problem with p-Laplacian operator, where the nonlinearity may be singular on t=0, 1 and u=0. The main tool is the classical fixed point index theorem for compact maps.

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Correspondence to Juanjuan Xu.

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The authors are supported by the National Natural Science Foundation of China (10771117) and the Foundation of School of Mathematics, Shandong University (306001).

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Xu, J., Kang, P. & Wei, Z. Singular multipoint impulsive boundary value problem with p-Laplacian operator. J. Appl. Math. Comput. 30, 105–120 (2009). https://doi.org/10.1007/s12190-008-0160-2

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  • DOI: https://doi.org/10.1007/s12190-008-0160-2

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