国家自然科学基金(Kj2007b055)

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MULTIPLE POSITIVE SOLUTIONS TO SOME SECOND-ORDER m-POINT BOUNDARY VALUE PROBLEMS
《Annals of Differential Equations》2009年第1期80-90,共11页Yang Liu, Shen Chunfang (Dept. of Math., Hefei Teachers College, Heifei 236032) 
sponsored by Natural Science Foundation of Anhui Educational Department(Kj2007b055) ;Youth Project Foundation of Anhui Educational Department (2007jqL101;2007jqL102)
Multiplicity of positive solutions to some second order m-point boundary value problems are considered. By fixed-point theorems in a cone, some new results are obtained. The associated Green’s function of these probl...
关键词：second order m-point boundary value problem positive solution CONE fixed point 
POSITIVE SOLUTION TO SECOND-ORDER FOUR-POINT BOUNDARY VALUE PROBLEM WITH SIGN CHANGING NONLINEARITY
《Annals of Differential Equations》2008年第4期470-476,共7页Yang Liu, Shen Chunfang (Dept. of Math., Hefei Teachers College, Hefei 236032) Liu Xiping (College of Science, University of Shanghai for Science and Technology, Shanghai 200093) 
sponsored by the Natural Science Foundation of Anhui Educational Department (Kj2007b055);Youth Project Foundation of Anhui Educational Department (2007jqL101;2007jqL102)
This paper considers the positive solution to a class of second-order four-point boundary value problem, in which the first order derivative is involved in the nonlinear term explicitly. By the fixed point theorem in ...
关键词：four point boundary value problem positive solution CONE fixed point 
Existence of Three Positive Solutions for Some Second-Order M-Point Boundary Value Problems
《Acta Mathematicae Applicatae Sinica》2008年第2期253-264,共12页Liu Yang Chun-fang Shen Xi-ping Liu 
the Natural Science Foundation of Anhui Educational Department(Kj2007b055); Youth Project Foundation of Anhui Educational Department(2007jqL101,2007jqL102)
By using fixed-point theorems, some new results for multiplicity of positive solutions for some second order m-point boundary value problems are obtained.The associated Green＇s function of these problems are also given.
关键词：second order m-point boundary value problem  positive solution cone  fixed point 
POSITIVE SOLUTION TO QUASI-LINEAR m-POINT BOUNDARY VALUE PROBLEM WITH SIGN CHANGING NONLINEARITY
《Annals of Differential Equations》2008年第2期224-232,共9页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) 
The work was sponsored by the Natural Science Foundation of Anhui Educational Department (Kj2007b055);Youth Project Foundation of Anhui Educational Department (2007jqL101; 2007jqL102).
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 conditi...
关键词：quasi-linear multi-point boundary value problem positive solution CONE fixed point 
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