TO DETERMINE THAT ALL THE ROOTS OF A TRANSCENDENTALPOLYNOMIAL HAVE NEGATIVE REAL PARTS

Citation:

Hu Bo.TO DETERMINE THAT ALL THE ROOTS OF A TRANSCENDENTALPOLYNOMIAL HAVE NEGATIVE REAL PARTS[J].Chinese Annals of Mathematics B,1997,18(3):373~392
Page view: 1056        Net amount: 1161

Authors:

Hu Bo;

Foundation:

Project supported by theScience Foundation of the State Education Commission of China
Abstract: A transcendental polynomial which has all its roots lying in the left half-plane is called stable. In this paper, the stability of transcendental polynomials which are nearly as general as those discussed by L. S. Pontryagin are investigated through direct analytic method. For application of the method presented in this paper, the asymptotic stability of some differential-difference equations is investigated.

Keywords:

Transcendental polynomial, Direct analytic method,Asymptotic stability

Classification:

34D20
Download PDF Full-Text

主管单位:国家教育部 主办单位:复旦大学 地址:220 Handan Road, Fudan University, Shanghai, China E-mail:edcam@fudan.edu.cn

本系统由北京勤云科技发展有限公司提供技术支持