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
Qin Yuan-sun, Wang Lian and Wang Mu-qiu,Theorem of Stability of Motion and Its Application, Science Press (1981). (in Chinese)
Wang Lian and Wang Mu qiu, On periodic solution of higher order nonlinear periodical system,Ann. of Diff. Eqs. (1987).
Lasalle, J. and S. Lefschetz,Stability by Liapunov's Direct Method with Application, New York, Academic Press (1961), 66.
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Communicated by Tsai Shu-tang
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Jun, J. Existence and uniqueness of periodic solutions for fourth-order nonlinear periodic systems. Appl Math Mech 11, 89–97 (1990). https://doi.org/10.1007/BF02014575
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DOI: https://doi.org/10.1007/BF02014575