POSITIVE SOLUTION TO SECOND-ORDER FOUR-POINT BOUNDARY VALUE PROBLEM WITH SIGN CHANGING NONLINEARITY |
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| Authors: | Yang Liu Shen Chunfang Liu Xiping |
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| Affiliation: | Dept. of Math.;Hefei Teachers College;Hefei 236032;College of Science;University of Shanghai for Science and Technology;Shanghai 200093 |
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| Abstract: | 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. |
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| Keywords: | four point boundary value problem positive solution cone fixed point |
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