A Simplified Proof to a Theorem by DINH Tongren on Periodic Solutions of Duffing Equations

DONG Yu-jun

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(9): 997-1000

DONG Yu-jun. A Simplified Proof to a Theorem by DINH Tongren on Periodic Solutions of Duffing Equations[J]. Applied Mathematics and Mechanics, 2001, 22(9): 997-1000.

Citation:

DONG Yu-jun. A Simplified Proof to a Theorem by DINH Tongren on Periodic Solutions of Duffing Equations[J]. Applied Mathematics and Mechanics, 2001, 22(9): 997-1000.

Citation:

DONG Yu-jun. A Simplified Proof to a Theorem by DINH Tongren on Periodic Solutions of Duffing Equations[J]. Applied Mathematics and Mechanics, 2001, 22(9): 997-1000.

PDF( 178 KB)

A Simplified Proof to a Theorem by DINH Tongren on Periodic Solutions of Duffing Equations

DONG Yu-jun^1,2

1.
Department of Mathematics, Nanjing Normal University, Nanjing 210097, P R China;
2.
Nankai Institute of Mathematics, Nankai University, Tianjin 300071, P R China

Received Date: 2001-01-12
Rev Recd Date: 2001-04-20
Publish Date: 2001-09-15

Abstract

Abstract

In 1982, DING Tongren gave a basic theorem about existence of periodic solutions of Duffing equations with double resonance. A simplified proof will be given by making use of the Leray-Schauder principle.
- periodic solutions,
- Duffing equations,
- Leray-Schauder principle

FullText(HTML)

References(3)

References

[1]	DING Tong-ren. Nonlinear oscillations at a point of resonance[J]. Science of China Section A,1982,12(1):1-13.
[2]	Habets P, Metzen G. Existence of periodic solutions of Duffing equations[J]. J Differential Equations,1989,78(1):1-32.
[3]	Asakawa H. Landesman-Lazer type problems for Fucik spectrum[J]. Nonlinear Anal,1996,26(3):407-414.