IJPAM: Volume 54, No. 1 (2009)
AN EXTENSION OF METHOD OF QUASILINEARIZATION
FOR INTEGRO-DIFFERENTIAL EQUATIONS
FOR INTEGRO-DIFFERENTIAL EQUATIONS
Peiguang Wang
, Yonghong Wu
, B. Wiwatanapaphee
College of Electronic and Information Engineering
Hebei University
Baoding, 071002, P.R. CHINA
e-mail: pgwang@hbu.edu.cn
Department of Mathematics and Statistics
Curtin University of Technology
GPO Box U1987, Perth, WA 6845, AUSTRALIA
Department of Mathematics
Mahidol University
Payathai, Bangkok, 10400, THAILAND
, Yonghong Wu, B. Wiwatanapaphee
College of Electronic and Information Engineering
Hebei University
Baoding, 071002, P.R. CHINA
e-mail: pgwang@hbu.edu.cn
Department of Mathematics and Statistics
Curtin University of Technology
GPO Box U1987, Perth, WA 6845, AUSTRALIA
Department of Mathematics
Mahidol University
Payathai, Bangkok, 10400, THAILAND
Abstract.This paper is devoted to existence and monotone approximation of the unique solution for integro-differential equation including a variety of possible cases by employing the method of generalized quasilinearization. Further, quadratic convergence of the monotone approximation is also discussed.
Received: April 24, 2009
AMS Subject Classification: 34B15, 39A12
Key Words and Phrases: integro-differential equations, quasilinearization, quadratic convergence, upper and lower solutions
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 54
Issue: 1