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Triple positive solutions of a boundary value problem for second order three-point differential equations with p-Laplacian operator

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Abstract

In the paper, we obtain the existence of triple positive solutions for the following second order three-point boundary value problem,

$$\left\{\begin{array}{l}(\phi_p(u'))'(t)+q(t)f(u(t),u'(t),(Tu)(t),(Su)(t))=0,\quad 0\leq t\leq1,\\[4pt]u'(0)=\beta u'(\eta),\qquad u(1)=g(u'(1)),\end{array}\right.$$

where \(\phi_{p}(s)=|s|^{p-2}s,p>1,\beta\in[0,1),\eta\in(0,\frac{1}{2}]\), T and S are all linear operators, g(t) is continuous.

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Authors and Affiliations

  1. Department of Mathematics, North China Electric Power University, Beijing, China

    Jiu-Xing Hu & De-Xiang Ma

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  1. Jiu-Xing Hu
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  2. De-Xiang Ma
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Correspondence to Jiu-Xing Hu.

Additional information

Research supported by National Natural Sciences Foundation of China (10771065) and Doctor’s Foundation of North China Electric Power University.

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Hu, JX., Ma, DX. Triple positive solutions of a boundary value problem for second order three-point differential equations with p-Laplacian operator. J. Appl. Math. Comput. 36, 251–261 (2011). https://doi.org/10.1007/s12190-010-0401-z

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  • DOI: https://doi.org/10.1007/s12190-010-0401-z

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