The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-452
Full Name: Yaxuan Zhang
Position: Doctor (Researcher)
Age: ON
Sex: Female
Address: No.2898 Jinbei Road, Dongli District, Tianjin, China
Country: CHINA
Tel: 086-13752350318
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Fax:
E-mail address: zhang.yaxuan@yahoo.com
Other E-mails: bunnyxuan@tju.edu.cn
Title of the Paper: spectrum of a class of delay differential equations and its solution expansion
Authors as they appear in the Paper: Yaxuan Zhang
Email addresses of all the authors: zhang.yaxuan@yahoo.com
Number of paper pages: 12
Abstract: In this paper we study the spectrum and solution expansion of the differential equation with multiple delays. Firstly, we present explicitly the asymptotic expressions of the eigenvalues under certain conditions. Then we prove that the root vectors of the system fail to form a basis for the state Hilbert space. However, by a trick, we expand the solution of the system according to the root vectors. As an application, we explain how to apply solution expansion to the numerical simulation of this kind of delay differential equations.
Keywords: Delay differential equation, Multiple delays, Spectrum, Root vector, Expansion of solution, Numerical simulation
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How Did you learn about congress: delay differential equations
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