POSITIVE SOLUTION TO QUASI-LINEAR m-POINT BOUNDARY VALUE PROBLEM WITH SIGN CHANGING NONLINEARITY  

POSITIVE SOLUTION TO QUASI-LINEAR m-POINT BOUNDARY VALUE PROBLEM WITH SIGN CHANGING NONLINEARITY

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作  者:Yang Liu,Shen Chunfang(Dept. of Math.,Hefei Teachers College,Hefei 230061) Liu Xiping(College of Science,University of Shanghai for Science and Technology,Shanghai 200093) 

出  处:《Annals of Differential Equations》2008年第2期224-232,共9页微分方程年刊(英文版)

基  金:The work was sponsored by the Natural Science Foundation of Anhui Educational Department (Kj2007b055);Youth Project Foundation of Anhui Educational Department (2007jqL101; 2007jqL102).

摘  要:This paper consider a class of quasi-linear multi-point boundary value problem whose nonlinear term is allowed to change sign and depends on the first order deriva-tive. By a new fixed point theorem,sufficient conditions for the existence of positive solutions are established.This paper consider a class of quasi-linear multi-point boundary value problem whose nonlinear term is allowed to change sign and depends on the first order deriva-tive. By a new fixed point theorem,sufficient conditions for the existence of positive solutions are established.

关 键 词:quasi-linear multi-point boundary value problem positive solution CONE fixed point 

分 类 号:O177.91[理学—数学]

 

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