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Positive solutions of nonlinear elas

時(shí)間:2023-05-02 20:48:33 數(shù)理化學(xué)論文 我要投稿
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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)  分類號(hào): O175.8  關(guān)鍵詞: nonlinear elastic beam equation   boundary value problem   positive solution   existence   multiplicity  

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