POSITIVE SOLUTIONS TO PERIODIC BOUNDARY VALUE PROBLEM OF SINGULAR SEMI-POSITONE NONLINEAR THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS  被引量:1

POSITIVE SOLUTIONS TO PERIODIC BOUNDARY VALUE PROBLEM OF SINGULAR SEMI-POSITONE NONLINEAR THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS

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作  者:Kemei Zhang, Wei Wang (Dept. of Math., Qufu Normal University, Qufu 273165, Shandong) 

出  处:《Annals of Differential Equations》2010年第3期359-367,共9页微分方程年刊(英文版)

基  金:supported by Natural Science Foundation of Shandong Province (ZR2009AL014);National Natural Science Foundation of China (10871116)

摘  要:By means of nonlinear alternative of Leray-Schauder type and Schauder fixed point theorem, the existence of positive solutions to singular semi-positone nonlinear third-order differential equations are established. The results are illustrated with an example.By means of nonlinear alternative of Leray-Schauder type and Schauder fixed point theorem, the existence of positive solutions to singular semi-positone nonlinear third-order differential equations are established. The results are illustrated with an example.

关 键 词:periodic boundary problem positive solutions nonlinear alternative 

分 类 号:O175[理学—数学]

 

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