TY - JOUR ID - 31768 TI - Relationships between Darboux Integrability and Limit Cycles for a Class of Able Equations JO - Journal of Sciences, Islamic Republic of Iran JA - JSCIENCES LA - en SN - 1016-1104 Y1 - 2006 PY - 2006 VL - 17 IS - 3 SP - EP - DO - N2 - We consider the class of polynomial differential equation x&= , 2(,)(,)(,)nnmnmPxyPxyPxy++++2(,)(,)(,)nnmnmyQxyQxyQxy++&=++. For where and 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. UR - https://jsciences.ut.ac.ir/article_31768.html L1 - https://jsciences.ut.ac.ir/article_31768_b98c805ccf615f5486e5288a73e4b49f.pdf ER -