## 留言板

 引用本文: 赵为礼. 二阶非线性无穷边值问题的奇摄动(Ⅰ)[J]. 应用数学和力学, 1989, 10(1): 43-50.
Zhao Wei-li. Singular Perturbation of boundary Value Problems for Second Order Nonlinear Ordinary Differential Equations on infinite Interval(Ⅰ)[J]. Applied Mathematics and Mechanics, 1989, 10(1): 43-50.
 Citation: Zhao Wei-li. Singular Perturbation of boundary Value Problems for Second Order Nonlinear Ordinary Differential Equations on infinite Interval(Ⅰ)[J]. Applied Mathematics and Mechanics, 1989, 10(1): 43-50.

## Singular Perturbation of boundary Value Problems for Second Order Nonlinear Ordinary Differential Equations on infinite Interval(Ⅰ)

• 摘要: 本文讨论了奇异地依赖于小参数ε>0的二阶非线性无穷边值问题(其中ai,β为常数,i=0,1)之解的存在性、唯一性及其渐近估计.
•  [1] 伍卓群,一类常微分方程边值问题的奇摄动—(I)方程式的情形,吉林大学自然科学学报,2(1963),91-104. [2] 周钦德,一类常微分方程奇摄动问题解的渐近展开,吉林大学自然科学学报,4 (1979),1-19. [3] 周钦德,一类奇摄动边值问题解的渐近展开,吉林大学自然科学学报,4 (1980),12-26 [4] 周钦德,一类奇摄动边值问题近似常数解的渐近展开,吉林大学自然科学学报,2 (1981),12-22. [5] 周钦德,某类奇摄动边值问题解的渐近展开,吉林大学自然科学学报,3 (1981),37-50. [6] 赵为礼,一类常微分方程无穷边值问题的奇摄动,吉林大学自然科学学报,3 (1881),27-36. [7] Scbrader,K.W.,Existence theorems for second order boundary value problems,J.Diff.Eqs.,5(1969),572-584. [8] Nagumo.M.,Uber die Differentialgleichung y"=f(x,y,y'),Proc.Phys.Math.Soc.Japan.19 Ser 3,10(1937),861-866. [9] Jackson.L.K.,Subfunctions and second-order ordinary differential inequalities,Adv.Math.,2(1968),307-363. [10] Klaasen.G.A.,Differential inequalities and existence theorems for second and third order boundary value problems.J.Diff.Eqs.,10(1971),529-537.

##### 计量
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##### 出版历程
• 收稿日期:  1986-09-20
• 刊出日期:  1989-01-15

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