Friday 26 December 2008

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 28-724
Full Name: Wei Dong
Position: Professor
Age: ON
Sex: Male
Address: 199 South Guangming Street Hebei University of Engineering, Handan
Country: CHINA
Tel: 86-310-3123696
Tel prefix: 86-310-8579711
Fax: 86-310-6025698
E-mail address: wdongau@yahoo.com.cn
Other E-mails:
Title of the Paper: oscillation and non-oscillation criteria for quasi-linear second order differential equations
Authors as they appear in the Paper: wei dong, tieguo ji, xueting zhao
Email addresses of all the authors: wdongau@yahoo.com.cn, rosemary1976@163.com,zhaoxueting999@sohu.com
Number of paper pages: 10
Abstract: Abstract: Some oscillation and non-oscillation criteria for quasi-linear second order equations are obtained. These results are extensions of earlier results of C.Huang(J.Math Anal. Appl.210(1997), 712-723), A. Elbert(J.Math.Anal.Apll.226(1998), 207-219) and J.Wong(J.Math.Anal.Apll.291(2004), 180-188) which are all about oscillation and non-oscillation criteria of the solution of the second order linear equation. After the proof of the main theorem, two examples are given as the additional remarks of the criteria. At last a special case is discussed. And the uniqueness and periodic criteria of the special case are obtained further by using comparison theorem and Leray-Schauder degree approach.
Keywords: Quasi-linear equation, oscillation, non-oscillations, periodic solution, Leray-Schauder degree
EXTENSION of the file: .doc
Special (Invited) Session: existence of periodic solutions for a class of differential equations of second order
Organizer of the Session: 604-245.doc
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