IJPAM: Volume 68, No. 2 (2011)
THE QUASILINEARIZATION METHOD FOR p-LAPLACIAN
DYNAMIC EQUATIONS WITH NONLINEAR
BOUNDARY VALUE CONDITIONS
DYNAMIC EQUATIONS WITH NONLINEAR
BOUNDARY VALUE CONDITIONS
Yanxia Lu1, Huifeng Shi2
1,2College of Applied Mathematics and Physics
North China Electric Power University
Baoding, 071003, P.R. CHINA
1e-mail: luyanxia_hb@yahoo.com.cn
2e-mail: shihuifeng_mcm@yahoo.com.cn
1,2College of Applied Mathematics and Physics
North China Electric Power University
Baoding, 071003, P.R. CHINA
1e-mail: luyanxia_hb@yahoo.com.cn
2e-mail: shihuifeng_mcm@yahoo.com.cn
Abstract. The p-Laplacian dynamic equations with the nonlinear boundary conditions are discussed. By applying the method of quasilinearization, a monotone positive solutions sequence is constructed, which converges uniformly to the positive solution of the p-Laplacian dynamic equations. Further the convergence of the sequence is quadratic.
Received: May 10, 2010
AMS Subject Classification: 34B15
Key Words and Phrases: quasilinearization method, p-Laplacian, lower and upper solutions, nonlinear boundary value problems, convergence
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 68
Issue: 2
