The Estimation of the Number of Zeros of the Abelian Integrals for a Class of Hamiltonian Systems  

作　　者：SONGYan 

机构地区：[1]DepartmentofMathematics,BohaiUniversity,Jinzhou121000,China

出　　处：《Chinese Quarterly Journal of Mathematics》2005年第2期158-162,共5页数学季刊（英文版）

摘　　要：In this paper, we discuss the estimation of the number of zeros of the Abelian integral for the quadratic system which has a periodic region with a parabola and a straight line as its boundary when we perturb the system inside the class of all polynomial systems of degree n. The main result is that the upper bound for the number of zeros of the Abelian integral associated to this system is 3n-1.

关 键 词：Hamiltonian system Abelian integral Picard-Puchs equation general Rolle's theorem 

分 类 号：O175[理学—数学]