Existence and Uniqueness of Periodic Solutions for Fourth-Order Nonlinear Periodic Systems

Jin Jun

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Jin Jun. Existence and Uniqueness of Periodic Solutions for Fourth-Order Nonlinear Periodic Systems[J]. Applied Mathematics and Mechanics, 1990, 11(1): 87-94.

Citation:

Jin Jun. Existence and Uniqueness of Periodic Solutions for Fourth-Order Nonlinear Periodic Systems[J]. Applied Mathematics and Mechanics, 1990, 11(1): 87-94.

Citation:

Jin Jun. Existence and Uniqueness of Periodic Solutions for Fourth-Order Nonlinear Periodic Systems[J]. Applied Mathematics and Mechanics, 1990, 11(1): 87-94.

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Existence and Uniqueness of Periodic Solutions for Fourth-Order Nonlinear Periodic Systems

Jin Jun

Shanghai Normal University, Shanghai

Received Date: 1989-03-13
Publish Date: 1990-01-15

Abstract

Abstract

In this paper, we study the existence, uniqueness and stability of the periodic solutions for fourth-order nonlinear nonhomogeneous periodic systems with slowly changing coefficients by using the method of Liapunor Function.We obtain some sufficient conditions which guarantee the existence, uniqueness and asymptotic stability of the periodic solutions of these systems and estimate the extent to which the coefficients are allowed to change.

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References(3)

References

[1]	秦元勋、王联、王慕秋,《运动稳定性理论与应用》,科学出版社(1981).
[2]	Wang Lian and Wang Mu qiu,On periodic solution of higher order nonlinear periodical system,Ann.of Diff.Eqs.(1987).
[3]	Lasalle,J.and S.Lefschetz,Stability by Liapunov's Direct Method with Application,New York,Academic Press(1961),66.