Successively Iterative Technique of a Classical Elastic Beam Equation with Carath,odory Nonlinearity

被引：10
|
作者：
Yao, Qingliu [1 ]
机构：
[1] Nanjing Univ Finance & Econ, Dept Appl Math, Nanjing 210003, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2009年 / 108卷 / 02期
关键词：
Ordinary differential equation; Boundary value problem; Solution; Successively iterative technique; Singularity; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTION;
D O I：
10.1007/s10440-008-9317-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider an elastic beam equation where the nonlinear term is a Carath,odory function and the boundary condition is nonhomogeneous. We construct an iterative sequence by the help of monotonic technique and prove that the sequence approximates successively to the solution of the equation under suitable assumptions.
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页码：385 / 394
页数：10
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