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
收藏
页码：247 / 257
页数：11
相关论文
共 50 条
  • [31] Homoclinic orbits for second order nonlinear p-Laplacian difference equations
    X. Deng
    X. Liu
    H. Shi
    T. Zhou
    Journal of Contemporary Mathematical Analysis, 2011, 46 : 172 - 182
  • [32] Homoclinic Orbits for Second Order Nonlinear p-Laplacian Difference Equations
    Deng, X.
    Liu, X.
    Shi, H.
    Zhou, T.
    JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2011, 46 (03): : 172 - 182
  • [33] Numerical method and convergence order for second-order impulsive differential equations
    Liangcai Mei
    Hongbo Sun
    Yingzhen Lin
    Advances in Difference Equations, 2019
  • [34] Numerical method and convergence order for second-order impulsive differential equations
    Mei, Liangcai
    Sun, Hongbo
    Lin, Yingzhen
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [35] Existence of Subharmonic Solutions for a Class of Second-Order p-Laplacian Systems with Impulsive Effects
    Gong, Wen-zhen
    Zhang, Qiongfen
    Tang, X. H.
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [36] Triple positive solutions of a boundary value problem for nonlinear singular second-order differential equations of mixed type with p-Laplacian
    Kong, Debin
    Liu, Lishan
    Wu, Yonghong
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (07) : 1425 - 1432
  • [37] On Existence Results for Nonlinear Fractional Differential Equations Involving the p-Laplacian at Resonance
    Lei Hu
    Shuqin Zhang
    Mediterranean Journal of Mathematics, 2016, 13 : 955 - 966
  • [38] Necessary conditions of optimality for second-order nonlinear impulsive differential equations
    Peng, Y.
    Xiang, X.
    Wei, W.
    ADVANCES IN DIFFERENCE EQUATIONS, 2007, 2007 (1)
  • [39] On Existence Results for Nonlinear Fractional Differential Equations Involving the p-Laplacian at Resonance
    Hu, Lei
    Zhang, Shuqin
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (03) : 955 - 966
  • [40] Asymptotic behavior of solutions of second-order nonlinear impulsive differential equations
    Jiao, Jianiun
    Chen, Lansun
    Li, Limei
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 337 (01) : 458 - 463
12345