Research of the Periodic Solution for a Class of Nonlinear Differential Equations

Jin Jun

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(4): 369-375

Jin Jun. Research of the Periodic Solution for a Class of Nonlinear Differential Equations[J]. Applied Mathematics and Mechanics, 1996, 17(4): 369-375.

Citation:

Jin Jun. Research of the Periodic Solution for a Class of Nonlinear Differential Equations[J]. Applied Mathematics and Mechanics, 1996, 17(4): 369-375.

Citation:

Jin Jun. Research of the Periodic Solution for a Class of Nonlinear Differential Equations[J]. Applied Mathematics and Mechanics, 1996, 17(4): 369-375.

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Research of the Periodic Solution for a Class of Nonlinear Differential Equations

Jin Jun

Shanghai Teachers University, Shanghai 200234, P. R. China

Received Date: 1995-02-22
Publish Date: 1996-04-15

Abstract

Abstract

In this paper,we study the existence,uniqueness and asymptotic stabgility of the periodic solution for a class of the most,universal fourth-order nonlinear nonautonomous periodic systems.We give the relevant Liapunov function by using the method of analogical slowly changing coefficients.We also give a considerably accurate estimation of the slowly changing coefficients and obtain the sufficient conditions which guarantee the existence,uniqueness and asymptotic Stability of the periodci solutions.
- fourth-order nonlinear system,
- periodic solution,
- existence and uniqueness,
- asymptotic stability

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References(6)

References

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