Existence of Solutions to a $p$-Laplacian Equation with Integral Initial Condition
Received:November 06, 2009  Revised:April 26, 2010
Key Words: integral initial condition   existence   topological degree.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10771085) and the 985 Program of Jilin University.
Author NameAffiliation
Wen Jing SONG Institute of Mathematics, Jilin University, Jilin 130012, P. R. China
Institute of Applied Mathematics, Jilin University of Finance and Economics, Jilin 130017, P. R. China 
Wen Jie GAO Institute of Mathematics, Jilin University, Jilin 130012, P. R. China 
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Abstract:
      In this paper, a class of one-dimension $p$-Laplacian equation with nonlocal initial value is studied. The existence of solutions for such a problem is obtained by using the topological degree method.
Citation:
DOI:10.3770/j.issn:1000-341X.2011.04.009
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