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Successive iteration and positive symmetric solution for a Sturm–Liouville-like four-point boundary value problem with a -Laplacian operator
Authors:Xiangkui Zhao  Weigao Ge  
Institution:aDepartment of Mathematics and Mechanics, School of Applied Science, University of Science and Technology Beijing, Beijing 100083, China;bDepartment of Mathematics, Beijing Institute of Technology, Beijing 100081, China
Abstract:In this paper, we consider the following Sturm–Liouville-like four-point p-Laplacian boundary value problem with the nonlinear term f depending on the first-order derivative View the MathML source subject to the boundary conditions View the MathML source By using a monotone iterative technique, the existence of symmetric positive solutions and corresponding iterative schemes are obtained.
Keywords:Sturm–  Liouville-like  Four-point boundary value problem  color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4W741WM-9&_mathId=mml6&_user=10&_cdi=5659&_pii=S0362546X09006087&_rdoc=44&_issn=0362546X&_acct=C000053510&_version=1&_userid=1524097&md5=0818de0c2ff46d9210436bde8c4a17f0" title="Click to view the MathML source"  p-Laplacian operator" target="_blank">alt="Click to view the MathML source">p-Laplacian operator  Symmetric positive solutions  Iteration
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