On the Existence of Solutions of Boundary Value Problems of Duffing Type Systems

HUANG Wen-hua; SHEN Zu-he

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(8): 875-880

HUANG Wen-hua, SHEN Zu-he. On the Existence of Solutions of Boundary Value Problems of Duffing Type Systems[J]. Applied Mathematics and Mechanics, 2000, 21(8): 875-880.

Citation:

HUANG Wen-hua, SHEN Zu-he. On the Existence of Solutions of Boundary Value Problems of Duffing Type Systems[J]. Applied Mathematics and Mechanics, 2000, 21(8): 875-880.

Citation:

HUANG Wen-hua, SHEN Zu-he. On the Existence of Solutions of Boundary Value Problems of Duffing Type Systems[J]. Applied Mathematics and Mechanics, 2000, 21(8): 875-880.

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On the Existence of Solutions of Boundary Value Problems of Duffing Type Systems

HUANG Wen-hua¹,
SHEN Zu-he²

1.
Department of Mathematics and Physics Sciences, Wuxi University of Light Industry, Wuxi 214036, P R China;
2.
Department of Mathematics, Nanjing University, Nanjing 210008, P R China

Received Date: 1999-03-05
Rev Recd Date: 2000-03-19
Publish Date: 2000-08-15

Abstract

Abstract

Several existence results of solutions of two-point boundary value problems of Duffing type systems with Dirichlet boundary conditions, Neumann boundary conditions and periodic boundary conditions are presented.
- Hilbert space,
- system of differential equations,
- two-point boundary value problem,
- solution

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References(3)

References

[1]	SHEN Zu-he.On the periodic solution to the Newtonian equation of motion[J].Nonlinear Analysis,1989,13(2);145-150.
[2]	WU Guang-rong, HUANG Wen-hua, SHEN Zu-he.On a min-max theorem[J].Appl Math-JCU,1997,12B(3);293-298.
[3]	黄文华,曹菊生,沈祖和.关于非线性两点边界值问题u"+g(t,u)=f(t),u(0)=u(2π)=0的解的存在性和唯一性[J].应用数学和力学,1998,19(9);821-826.