A Generalized Quasilinearization Method for Nonlinear Second-Order Impulsive Differential Equations Involving the p-Laplacian

被引：0
|
作者：
Wang, Libo [1 ,2 ]
Pei, Minghe [2 ]
Ge, Weigao [1 ]
机构：
[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
[2] Beihua Univ, Dept Math, Jilin 132013, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2010年 / 110卷 / 01期
关键词：
Variational method; Generalized quasilinearization method; Lower and upper solutions; Impulsive differential equation; p-Laplacian; RAPID CONVERGENCE;
D O I：
10.1007/s10440-008-9403-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using variational method and lower and upper solutions, we get a generalized quasilinearization method which construct an iterative scheme converging uniformly to a solution of a nonlinear second-order impulsive differential equations involving the p-Laplacian, and converging quadratically when p=2.
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页码：247 / 257
页数：11
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