ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS

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AASARAAI A.; MEHRI BAHMAN

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Journal Paper

Paper Information

Journal: Journal of Sciences, Islamic Republic of Iran Year:2001 | Volume:12 | Issue:1 Page(s): 49-56

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Title

ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS

Author(s)

AASARAAI A. | MEHRI BAHMAN | Issue Writer Certificate

Keywords

NON-LINEAR SYSTEM; PERIODIC SOLUTION AND GREEN’S FUNCTION

Abstract

Here we consider some non-autonomous ordinary differential equations of
order n and present some results and theorems on the existence of periodic
solutions for them, which are sufficient conditions, section 1. Also we include
generalizations of these results to vector differential equations and examinations
of some practical examples by numerical simulation, section 2. For some special
cases that extendibility of the solutions can be verified and under other suitable
conditions, we show that the frequency of the periodic solutions can be arbitrary
small†.

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APA: Copy

AASARAAI, A., & MEHRI, BAHMAN. (2001). ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 12(1), 49-56. SID. https://sid.ir/paper/529816/en

Vancouver: Copy

AASARAAI A., MEHRI BAHMAN. ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2001;12(1):49-56. Available from: https://sid.ir/paper/529816/en

IEEE: Copy

A. AASARAAI, and BAHMAN MEHRI, “ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 12, no. 1, pp. 49–56, 2001, [Online]. Available: https://sid.ir/paper/529816/en

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