The monotone iterative technique and periodic boundary value problem for first order impulsive functional differential equations

被引：3

作者：

He, ZM ^{[1
]}

Ge, WG

机构：

[1] Cent S Univ, Dept Appl Math & Appl Software, Changsha 410083, Peoples R China

[2] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2002年 / 18卷 / 02期

关键词：

impulsive functional differential equation; upper and lower solution; monotone iterative technique; periodic boundary value problem;

D O I：

10.1007/s101140200155

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper uses the method of upper and lower solutions and the monotone iterative technique to investigate the existence of maximal and minimal solutions of the periodic boundary value problem for first order impulsive functional differential equations.

引用

页码：253 / 262

页数：10

共 50 条

[1] The Monotone Iterative Technique and Periodic Boundary Value Problem for First Order Impulsive Functional Differential Equations
Zhi Min He
Wei Gao Ge
[J]. Acta Mathematica Sinica, 2002, 18 : 253 - 262
[2] The Monotone Iterative Technique and Periodic Boundary Value Problem for First Order Impulsive Functional Differential Equations
HE Zhi Min Department of Applied Mathematics and Applied Software.Central South University.Changsha 410083.P.R.China E-mail:hezhimin@mail.csu.edu.cnGE Wei Gao Department of Applied Mathematics Beijing Institute of Technology.Beijing 100081
[J]. Acta Mathematica Sinica,English Series, 2002, 18 (02) : 253 - 262
[3] Periodic boundary value problem for the first order impulsive functional differential equations
Liang, Ruixi
Shen, Jianhua
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 202 (02) : 498 - 510
[4] Periodic boundary value problems and monotone iterative methods for first order impulsive differential equations with delay
Zhang, FQ
Ma, Z
Yan, JR
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2001, 32 (11): : 1695 - 1707
[5] Periodic boundary value problem for first-order impulsive functional differential equations
He, ZM
Yu, JS
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 138 (02) : 205 - 217
[6] Periodic boundary value problem for first-order impulsive functional differential equations
Luo, Zhiguo
Jing, Zhujun
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (09) : 2094 - 2107
[7] Monotone iterative technique for first order impulsive difference equations with periodic boundary conditions
He, ZM
Zhang, XM
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (03) : 605 - 620
[8] The Periodic Boundary Value Problem for the First Order Impulsive Differential Equations
Yang, Xianghui
[J]. PROCEEDINGS OF 2010 INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY AND INDUSTRIAL ENGINEERING, VOLS I AND II, 2010, : 1010 - 1012
[9] Periodic Boundary Value Problem For First-Order Impulsive Differential Equations
Xiao, Li
Liu, Ting
Liu, Anping
[J]. PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 347 - 350
[10] Periodic boundary value problem for first order impulsive delay differential equations
He, ZM
Ge, WG
[J]. APPLIED MATHEMATICS AND COMPUTATION, 1999, 104 (01) : 51 - 63

← 1 2 3 4 5 →