Existence of positive solutions for singular four-point boundary value problem with a <Emphasis Type="Italic">p</Emphasis>-Laplacian |
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Authors: | Chunmei Miao Junfang Zhao Weigao Ge |
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Institution: | 1.Department of Mathematics,Beijing Institute of Technology,Beijing,P. R. China;2.College of Science,Changchun University,Changchun,P.R. China |
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Abstract: | In this paper we deal with the four-point singular boundary value problem
$
\left\{ \begin{gathered}
(\phi _p (u'(t)))' + q(t)f(t,u(t),u'(t),u'(t)) = 0,t \in (0,1), \hfill \\
u'(0) - \alpha u(\xi ) = 0,u'(1) + \beta u(\eta ) = 0, \hfill \\
\end{gathered} \right.
$
\left\{ \begin{gathered}
(\phi _p (u'(t)))' + q(t)f(t,u(t),u'(t),u'(t)) = 0,t \in (0,1), \hfill \\
u'(0) - \alpha u(\xi ) = 0,u'(1) + \beta u(\eta ) = 0, \hfill \\
\end{gathered} \right.
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Keywords: | |
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