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.

引用

页码：247 / 257

页数：11

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