Banach空间四阶非线性微分方程两点边值问题  

TWO-POINT BOUNDARY VALUE PROBLEM FOR FOURTHORDER DIFFERENTIAL EQATIONS INA BANACH SPACE

作　　者：戚仕硕[1] 

机构地区：[1]商丘师专数学系

出　　处：《黄淮学刊（自然科学版）》1996年第1期37-44,共8页

摘　　要：本文采用单调迭代技术研究了Ｂａｎａｃｈ空间中形如ｘ（４）＝ｆ（ｔ，ｘ，ｘ＇，ｘ＂，ｘ），ｘ＇（ａ）＝Ａ，ｘ＂（ａ）＝Ｂ，ｘ（ａ）＝Ｃ，ｘ（ｂ）＝ｘ０的四阶非线性微分方程两点边值问题，并首次得到关于最大解与最小解的存在性定理。In this paper,monotone iterative technique is applied to the investigation of twopoint boundary value problem (BVP in short ) for fourth-order nonlinear differential equations as follows: x(4) =f(t, x,x',x",x),x' (a) = A,x"(a) =B,x(a) =C,x (b) = x0 in a Banach space. We first establish the existence theorem on the maximal and minimal solutions to this BVP.

关 键 词：巴拿赫空间 微分方程 两点边值问题 边值问题 

分 类 号：O174.14[理学—数学]