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POSITIVE SOLUTION TO SECOND-ORDER FOUR-POINT BOUNDARY VALUE PROBLEM WITH SIGN CHANGING NONLINEARITY

POSITIVE SOLUTION TO SECOND-ORDER FOUR-POINT BOUNDARY VALUE PROBLEM WITH SIGN CHANGING NONLINEARITY
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摘要 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 cone, sufficient conditions ensuring the existence of positive solution to the problem are obtained. An example is given to illustrate the feasibility of the main results. 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 cone, sufficient conditions ensuring the existence of positive solution to the problem are obtained. An example is given to illustrate the feasibility of the main results.
出处 《Annals of Differential Equations》 2008年第4期470-476,共7页 微分方程年刊(英文版)
基金 sponsored by the Natural Science Foundation of Anhui Educational Department (Kj2007b055) Youth Project Foundation of Anhui Educational Department (2007jqL101 2007jqL102)
关键词 four point boundary value problem positive solution CONE fixed point four point boundary value problem positive solution cone fixed point
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参考文献10

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