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. (1378). PERIODIC SOLUTIONS OF CERTAIN THREE DIMENSIONAL AUTONOMOUS SYSTEMS. , 10(2), -.
. "PERIODIC SOLUTIONS OF CERTAIN THREE DIMENSIONAL AUTONOMOUS SYSTEMS". , 10, 2, 1378, -.
. (1378). 'PERIODIC SOLUTIONS OF CERTAIN THREE DIMENSIONAL AUTONOMOUS SYSTEMS', , 10(2), pp. -.
. PERIODIC SOLUTIONS OF CERTAIN THREE DIMENSIONAL AUTONOMOUS SYSTEMS. , 1378; 10(2): -.

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.
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