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- W2368744060 abstract "There have been many results on seeking a periodic solution for systems of autonomous differential equations by using the terns principl.The finest one amony them is still Liapunov's method of rotating functions proposed by B.B.Nemytskii.However, this method is limited in the case that the absolute values of derivatives of rotating functions are greater than some positive constants.This paper summarizes the methods proposed in[3-5] and gives a more careful criterion such that derivatives of rotating functions might be alternative functions.The author provides a sufficient condition of existence of a periodic solution for systems of autonomous differential equations by using Liapunov's method of rotating functions under more general circumstances." @default.
- W2368744060 created "2016-06-24" @default.
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- W2368744060 date "1983-01-01" @default.
- W2368744060 modified "2023-09-25" @default.
- W2368744060 title "A CRITERION OF EXISTENCE OF A PERIODIC SOLUTION FOR n-TH ORDER SYSTEMS OF AUTONOMOUS DIFFERENTIAL EQUATIONS(n≥3)" @default.
- W2368744060 hasPublicationYear "1983" @default.
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