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Relationships Between Darboux Integrability and Limit Cycles For A Class of Able Equations.
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نویسنده
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Shariati H. ,Mohammadi Nejad H. M.
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منبع
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Journal Of Sciences Islamic Republic Of Iran - 2006 - دوره : 17 - شماره : 3 - صفحه:265 -272
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فایل تمام متن
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چکیده
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We consider the class of polynomial differential equation x=pn(x,y)+ p(n+m) (x,y) + p(n+m) (x,y) + p(n+2m) (x,y), y= qn(x,y) + q(n+m) + q(n+2m) (x,y). for m,n>=1 where p1 and q1 are homogeneous polynomials of degree i. inside this class of polynomial differential equation we consider a subclass of darboux integrable systems. moreover, under additional conditions we proved such darboux integrable systems can have at most 1 limit cycle.
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کلیدواژه
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Limit Cycles; Darboux Integrable; Homogeneous Polynomial; Abel Equations; Bernoulli Equation.
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آدرس
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University Of Sistan And Baluchestan, Faculty Of Sciences , Department Of Mathematics , ایران, University Of Birjand, Department Of Mathematics , ایران
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پست الکترونیکی
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hmohmmadin@yahoo.com
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Authors
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