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The Existence Of Positive Solutions For A Class Nonlinear Constant Differential Equation With P-Laplace Operator

Posted on:2012-05-17Degree:MasterType:Thesis
Country:ChinaCandidate:J X HuFull Text:PDF
GTID:2120330335453878Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
In this paper, We mainly talk about the existence of positive solutions for a class nonlinear constant differential eqution boundray value prolem with p-Laplace operator. For the same question, We study it with different methods.Firstly, by equivalent transformation, the boundary value prolem can be changed into the integral equation, by which an abstract operator is constructed. Then by using the fixed-point therom on a proper cone, the existence of positive solutions can be obtained.Secondly, through the therom of iteration, the sequences can be obtained. So not only the existence of positive solutons can be obtained, but also the way how to get concrete solutons can be done. Furthermore, combining with numerical simulation, last results can be show in form of tables and figures.
Keywords/Search Tags:p-Laplace operator, cone, nonlinear, positive solution, fixed-point therom, iteration
PDF Full Text Request
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