带有积分边值条件非共振梁方程解的唯一性(英文)  

Unique Solution for Non-resonance Beam Equation with Integral Boundary Condition

作　　者：刘喜兰[1] 陈玲[1] 穆锦荣 

机构地区：[1]青海民族大学数学与统计学院,青海西宁810007

出　　处：《应用数学》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)

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.

关 键 词：非共振 解 唯一性 积分边值条件 

分 类 号：O175.8[理学—数学]