摘要
本文讨论一类带有积分边值条件的非共振弹性梁方程,得到解存在唯一的条件.结果充分反映出带有积分边值条件的梁方程与经典问题明显的不同,体现积分边值条件给问题带来的复杂性.关于梁方程带有参数和积分边值条件问题研究结果还未见相关报道.
The existence of unique solution for a beam equation with integral boundary condition is studied by fixed point theorem. The result shows the dramatic difference between a beam equation with integral boundary condition and the one with classical boundary conditions. To our knowledge, there is no any results for fourth-order differential equations with parameters and integral boundary condition in literatures.
出处
《应用数学》
CSCD
北大核心
2015年第2期318-323,共6页
Mathematica Applicata
基金
Supported by the NNSF of China(11361047,10961020)
the NSF of Qinghai Province(2012-Z-910)
关键词
非共振
解
唯一性
积分边值条件
Non-resonance
Solution
Uniqueness
Integral boundary condition
