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 作者单位： Dept. of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, China 刊 名： 哈尔滨工业大学学报（英文版） EI 英文刊名： JOURNAL OF HARBIN INSTITUTE OF TECHNOLOGY 年，卷(期)： 2006 13(5) 分类号： O175.8 关键词： nonlinear elastic beam equation boundary value problem positive solution existence multiplicity