## 留言板

 引用本文: 陈松林. 一阶系统非线性边值问题的奇摄动*[J]. 应用数学和力学, 1996, 17(11): 1033-1038.
Chen Songlin. Singular Perturbation for a Nonlinear Boundary Value Problem of First Order System[J]. Applied Mathematics and Mechanics, 1996, 17(11): 1033-1038.
 Citation: Chen Songlin. Singular Perturbation for a Nonlinear Boundary Value Problem of First Order System[J]. Applied Mathematics and Mechanics, 1996, 17(11): 1033-1038.

## Singular Perturbation for a Nonlinear Boundary Value Problem of First Order System

• 摘要: 本文应用比较定理研究了一类非线性边界条件的向量非线性奇摄动问题εx='f(t,x,y,e)εy'=g(t,x,y,ε)x(0)=A(ξ12,x(1)-x(0),y(1)-y(0),ε)y(0)=B(ξ1,ξ,x(1)-x(0),y(1)-y(0),ε)这里ξ12为ε的函数。0<ε<<1,在适当的条件下,作出了任意次精度的渐近展式。并得出余项估计。
•  [1] F, A, Howes,Differential inequalities of higher order and the asymptotic solution of nonlinear boundary value problems, SIAM J.Meth.Anal,,13(1982), 61-80, [2] 康盛亮、陈琪,非线性向量边值问题的奇摄动,应用数学和力学,9(9) (1988), 817-824, [3] 江福汝,关于常微分方程非线性边值问题的奇异摄动,中国科学(A辑),3 (1985),232-242, [4] A, McNabb, Comparison theorems for differential equatioas, J.Math, Anal,Appl.,19 (1988), 417-428, [5] A, McNabb and G, Weir, Comparison theorems for ordinary differential equations with geaeral boundary conditioas,J, Math, Anal.Appl,,130(1988),144-154, [6] J, K, Hale, Ordinary Dif fereutial Equations, Robert E, Krieger Pub, Co,,Huntiagton (1980), [7] Mo Jiaqi(莫嘉琪),Singular perturbation for a boundary value problem of forth order nonlinear differential equation,Chin, Ann Math.,8B(1987), 80-88.

##### 计量
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##### 出版历程
• 收稿日期:  1984-04-08
• 修回日期:  1996-04-15
• 刊出日期:  1996-11-15

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