四阶边值问题的n个正解的存在性
Existence of n Positive Solutions for Some Fourth-order Boundary Value Problems
作者将Leray-Schauder连续映像定理和锥压缩和锥拉伸型的Krasnosel’skii不动点定理应用于一类含有一阶和二阶导数的四阶二点边值问题，并且获得了n个正解的存在性的定理结果，其中n是一个任意的自然数。另外，我们应用控制函数和方程组技巧，在这个问题上获得了一些关于正解的新结果.
he authors apply Leray-Schauder continuous principle theorem and Krasnosel’skii fixed point theorem of cone expansion-compression type to a class of nonlinear fourth-order two-point boundary value problems whose nonlinear term contains first and second derivative, and obtain existence of n positive solutions, where n is an arbitrary number. In addition, by applying control functions and equations technique on it, we get some new results about the positive solutions.
刘文斌、苏星星、陈海量 、施恂栋、杨成
数学
非线性四阶边值问题正解存在性多解性锥上的不动点定理
nonlinear fourth-order boundary value problemspositive solutionexistencemultiplicityfixed point theorem on coneLeray-Schauder continuous principle
刘文斌,苏星星,陈海量 ,施恂栋,杨成.四阶边值问题的n个正解的存在性[EB/OL].(2009-10-28)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/200910-571.点此复制
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