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

YAO Qing-liu

哈尔滨工业大学学报(英文版)2006,Vol.13Issue(5):545-548,4.
哈尔滨工业大学学报(英文版)2006,Vol.13Issue(5):545-548,4.

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

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

YAO Qing-liu1

作者信息

  • 1. Dept. of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, China
  • 折叠

摘要

Abstract

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.

关键词

nonlinear elastic beam equation/boundary value problem/positive solution/existence/multiplicity

Key words

nonlinear elastic beam equation/boundary value problem/positive solution/existence/multiplicity

分类

数理科学

引用本文复制引用

YAO Qing-liu..Positive solutions of nonlinear elastic beam equations with a fixed end and a movable end[J].哈尔滨工业大学学报(英文版),2006,13(5):545-548,4.

基金项目

Sponsored by the National Natural Science Foundation of China( Grant No. 10571085 ). ( Grant No. 10571085 )

哈尔滨工业大学学报(英文版)

1005-9113

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