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

JIANG Fu-ru; JIN Qi-nian

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(4): 345-353

JIANG Fu-ru, JIN Qi-nian. Asymptotic Solutions of Boundary Value Problems for Third Order Ordinary Differential Equations With Turning Points[J]. Applied Mathematics and Mechanics, 2001, 22(4): 345-353.

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

JIANG Fu-ru¹,
JIN Qi-nian²

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

Received Date: 1999-06-16
Rev Recd Date: 2000-11-19
Publish Date: 2001-04-15

Abstract

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

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References(6)

References

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