A necessary and sufficient condition for the existence of positive solutions of fourth-order singular boundary value problems |
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| Institution: | Department of Mathematics Qufu Normal University Qufu, Shandong 273165, P.R. China;Department of Mathematics University of Texas-Pan American 1201 W. University Drive Edinburg, TX 78539, USA |
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| Abstract: | This paper studies positive solutions to a class of superlinear (sublinear) fourth-order singular boundary value problems by means of operator approximation theory and fixed point theorems. A necessary and sufficient condition for the existence of C30, 1] positive solutions is obtained, which extends and includes some known results. |
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