Qualitative Analysis for a Class of Second Order Nonlinear System with Delay

PENG Qi-lin

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PENG Qi-lin. Qualitative Analysis for a Class of Second Order Nonlinear System with Delay[J]. Applied Mathematics and Mechanics, 2001, 22(7): 749-752.

Citation:

PENG Qi-lin. Qualitative Analysis for a Class of Second Order Nonlinear System with Delay[J]. Applied Mathematics and Mechanics, 2001, 22(7): 749-752.

Citation:

PENG Qi-lin. Qualitative Analysis for a Class of Second Order Nonlinear System with Delay[J]. Applied Mathematics and Mechanics, 2001, 22(7): 749-752.

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Qualitative Analysis for a Class of Second Order Nonlinear System with Delay

PENG Qi-lin

Department of Basic Science, Suqian Vocational and Technological College, Suqian, Jiangsu 223800

Received Date: 1999-12-21
Rev Recd Date: 2001-01-08
Publish Date: 2001-07-15

Abstract

Abstract

The second order nonlinear system with delay x"(t)+f(x(t),x'(t))+g(x(t),x'(t))ψ(x(t-τ))=p(t) being considered. Four theorems on the stability of zero solution, the boundedness of the solutions, the existence of the periodic solutions, the existence and uniqueness of the stationary oscilation are obtained by means of the Liapunov's second method. The conclusion in the literatures are generalized.
- second order nonlinear differential equation,
- delay,
- Liapunov functional

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References(8)

References

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