multiple positive solutions for fourth-order three-point p-laplacian boundary-value problems
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2007
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Abstract
In this paper, we study the three-point boundary-value problem for a fourth-order one-dimensional $p$-Laplacian differential equation $$ ig(phi_p(u''(t))ig)''+ a(t)fig(u(t)ig)=0, quad tin (0,1), $$ subject to the nonlinear boundary conditions: $$displaylines{ u(0)=xi u(1),quad u'(1)=eta u'(0),cr (phi _{p}(u''(0))' =alpha _{1}(phi _{p}(u''(delta))', quad u''(1)=sqrt[p-1]{eta _{1}}u''(delta), }$$ where $phi_{p}(s)=|s|^{p-2}s$, $p>1$. Using the five functional fixed point theorem due to Avery, we obtain sufficient conditions for the existence of at least three positive solutions.
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| Authors | ;Hanying Feng;Meiqiang Feng;Ming Jiang;Weigao Ge |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2007 |
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