一类二阶拟线性边值问题的可解性

姚庆六

doi:10.3879/j.issn.1000-0887.2009.08.012

一类二阶拟线性边值问题的可解性

doi: 10.3879/j.issn.1000-0887.2009.08.012

姚庆六

南京财经大学应用数学系,南京 210003

详细信息

作者简介:
姚庆六(1946- ),男,上海人,教授(E-mail:yaoqingliu2002@hotmail.com).

中图分类号: O175.8
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- 被引次数: 0
出版历程
- 收稿日期: 2008-10-11
- 修回日期: 2009-06-14
- 刊出日期: 2009-08-15

Solvability of a Class of Second-Order Quasilinear Boundary Value Problems

YAO Qing-liu

Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, P. R. China

摘要

摘要: 当非线性项奇异和无穷远处的极限增长函数存在时，考察了一类二阶拟线性边值问题．通过引入非线性项在有界集合上的高度函数，并且考察高度函数的积分,证明了一个解的存在定理．该定理表明当极限增长函数的积分具有适当值时此问题有一个解．
- 拟线性常微分方程 /
- 两点边值问题 /
- 可解性 /
- Lebesgue控制收敛定理
Abstract: A class of second-order quasilinear boundary value problems was considered when the non-linear term is singular and the limit growth function at infinite exists. By introducing the height function of nonlinear term on bounded set and considering integration of the height function, an existence theorem of solution was proved. The existence theorem shows that the problem has a solution if the integration of the limit growth function has appropriate value.
- quasilinear ordinary differential equation /
- two-point boundary value problem /
- solvability /
- Lebesgue dominated convergence theorem

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参考文献(16)

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