摘要
考察了两个端点固定的非线性四阶弹性梁方程的解和正解的存在性与多解性,其中非线性项可以没有下界.主要工具是积分方程技巧和锥上的不动点定理.所有存在性与多解性结论都依赖于非线性项在某些有界集上的“高度”,同时与非线性项在这些有界集合以外的增长无关.
The existence and multiplicity of solutionsand positive solutions for a nonlinear elastic beam equations fixed at both ends are considered, where nonlinear term may not have lower bound. Main ingredients are the technology of integral equation and the fixed point theorems on cone. All conclusions about existence and multiplicity depend upon the ＂heights＂ of nonlinear term on some bounded sets, while they are independent of the growths of nonlinear term outside these sets.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2006年第6期6-10,共5页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(10571085)
关键词
非线性常微分方程
边值问题
解
正解
存在性
多解性
nonlinear ordinary differential equation
boundary value problem
solution
positive solution
existence
multiplicity
