带转点的三阶常微分方程边值问题的渐近解

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Asymptotic Solutions of Boundary Value Problems for Third Order Ordinary Differential Equations With Turning Points

1.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P R China;
2.
Department of Mathematics, Nanjing University, Nanjing 210000, P R China

摘要: 研究带转点的三阶常微分方程的边值问题,其中f(x;0)在(-a,b)具有多个多重零点。给出边值问题出现共振的必要条件,求得其一致有效渐近解和余项估计。
- 常微分方程 /
- 边值问题 /
- 转点 /
- 渐近解
Abstract: Boundary value problems for third order ordinary differential equations with turning points are studied as follows: , where f(x;0) has several multiple zero points in(-a,b).The necessary conditions for exhibiting resonance is given,and the uniformly valid asymptotic solutions and the estimations of remainder terms are obtained.
- boundary value problems /
- ordinary differential equations /
- turning points /
- asymptotic solutions

[1]	Ackerberg R C, O'Malley R E, Jr. Boundary layer problems exhibiting resonance[J]. Stud Appl Math,1970,49:277-295.
[2]	Matkowsky B J. On boundary layer problems exhibiting resonance[J]. SIAM Rev,1975,17:82-100.
[3]	JIANG Fu-ru. Asymptotic solutions of boundary value problems for semilinear ordinary differential equations with turning points[J]. Computational Fluid Dynamics J,1994,2(4):471-484.
[4]	江福汝. 关于常微分方程转点问题共振的必要条件[J]. 应用数学和力学,1989,10(4):277-284.
[5]	赵为礼. 三阶非线性微分方程边值问题解的存在性[J]. 吉林大学自然科学学报,1984,(2):10-19.
[6]	Nagumo M. Über die Differentialgleichung y″=f(x,y,y′)[J]. Proc Phys Math Soc Japan,Ser 3,1973,19(10):861-866.

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