Positive solutions of nonlinear elastic beam equations with a fixed end and a movable end

The existence of n positive solutions is studied for a class of fourth-order elastic beam equations where one end is fixed and other end is movable. Here, n is an arbitrary natural number. Our results show that the class of equations may have n positive solutions provided the "heights" of the nonlinear term are appropriate on some bounded sets.

作 者： YAO Qing-liu   作者單位： Dept. of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, China  刊 名： 哈爾濱工業(yè)大學(xué)學(xué)報(bào)（英文版）  EI 英文刊名： JOURNAL OF HARBIN INSTITUTE OF TECHNOLOGY  年，卷(期)： 2006 13(5)  分類(lèi)號(hào)： O175.8  關(guān)鍵詞： nonlinear elastic beam equation   boundary value problem   positive solution   existence   multiplicity  

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