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中文摘要：
考察了含有未知函数一、二阶导数的非线性三阶两点特征值问题的变号解，其中非线性项是一个强Caratheodory函数．通过引入非线性项的高度函数并且考察高度函数的积分建立了一个新的存在定理．主要工具是Hammerstein积分方程及Schauder不动点定理．
英文摘要：
The sign changing solution is considered for a class of nonlinear third-order two-point eigenvalue problems with first and second derivatives, where the nonlinear term is a Caratheodory function. Introducing the height function of nonlinear term and estimating integration of the height function establish a new existence theorem. The main tools are the Hammerstein integral equation and the Schauder fixed-point theorem.
同期刊论文项目
同项目期刊论文
Existence of solutions of second order boundary value problems with integral boundary conditions and
On periodic solutions for first-order differential equations involving the distributional Henstock-K
An approximation approach to eigenvalue intervals for singular boundary value problems with sign cha
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