三阶非线性方程三点边值问题的奇摄动  

Singular Perturbation for Three-Point Boundary Value Problem for Third-Order Nonlinear Equation

作　　者：王国灿[1] 杜媛芳[1] 

机构地区：[1]大连交通大学理学院,辽宁大连116028

出　　处：《大连交通大学学报》2009年第4期108-110,共3页Journal of Dalian Jiaotong University

摘　　要：讨论了三阶非线性微分方程三点边值问题的奇摄动.利用积分算子和微分不等式技巧,得到了解的存在性、唯一性与渐近估计.结果表明,这种技巧为其它三阶边值问题的研究提出了一种新的思路.Singular perturbation of three-point boundary value problem for third order nonlinear equation is studied by using of Voherra type integral operator and differential inequality techniques. The existence and uniqueness and asymptotic estimmation of the solutions are obtained. The use of these techniques to study for these kinds of third-order boundary value problems seems to be new.

关 键 词：三阶非线性方程 三点边值问题 微分不等式 奇摄动 

分 类 号：O175.8[理学—数学]