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PERIODIC SOLUTIONS OF CERTAIN THREE DIMENSIONAL AUTONOMOUS SYSTEMS | ||
Journal of Sciences, Islamic Republic of Iran | ||
مقاله 7، دوره 10، شماره 2، شهریور 1999 اصل مقاله (245.73 K) | ||
چکیده | ||
There has been extensive work on the existence of periodic solutions for nonlinear second order autonomous differantial equations, but little work regarding the third order problems. The popular Poincare-Bendixon theorem applies well to the former but not the latter (see [2] and [3]). We give a necessary condition for the existence of periodic solutions for the third order autonomous systems, This may become useful in further investigations. Our claims are proved and supported by certain examples. | ||
عنوان مقاله [English] | ||
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چکیده [English] | ||
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آمار تعداد مشاهده مقاله: 858 تعداد دریافت فایل اصل مقاله: 811 |