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关于多正解问题的某些研究
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作者 杨书郎 《数学学报(中文版)》 SCIE CSCD 北大核心 1997年第5期771-776,共6页
本文以fp同伦方法为工具,借助于一些适当的变换,研究有序的(B)空间中的集值映象方程的多正解问题;在文中的有关工作中,还使用了集值映象的拟导数的某些性质.
关键词 集值映象方程 多正解问题 拟导数
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Existence of Multiple Positive Solutions for Higher-Order p-Laplacian Boundary Value Problems
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作者 贺小明 葛渭高 《Journal of Beijing Institute of Technology》 EI CAS 2002年第2期212-216,共5页
The existence of multiple positive solutions for a class of higher order p Laplacian boundary value problem is studied. By means of the Leggett Williams fixed point theorem in cones, existence criteria which e... The existence of multiple positive solutions for a class of higher order p Laplacian boundary value problem is studied. By means of the Leggett Williams fixed point theorem in cones, existence criteria which ensure the existence of at least three positive solutions of the boundary value problem are established. 展开更多
关键词 positive solutions cone Leggett Williams fixed point theorem p Laplacian boundary value problems
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Existence of Multiple Positive Solutions of Discrete Boundary Value Problem
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作者 周桂云 《Chinese Quarterly Journal of Mathematics》 CSCD 2002年第4期99-104,共6页
In this paper, we consider the existence of multiple positive solutions of discrete boundary value problem. The theory of fixed point index is used here to derive the existence theorem.
关键词 nonlinear difference equation upper and lower solutions the fixed point index
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Positive solutions of nonlinear elastic beam equations with a fixed end and a movable end 被引量:3
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作者 姚庆六 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2006年第5期545-548,共4页
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 cl... 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. 展开更多
关键词 nonlinear elastic beam equation boundary value problem positive solution EXISTENCE MULTIPLICITY
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