Periodic Boundary Value Problems for the Second Order Impulsive Differential Equations

被引：0

作者：

Thaiprayoon, Chatthai ^{[1
]}

Tariboon, Jessada ^{[2
]}

Khumsup, Preya ^{[1
]}

机构：

[1] King Mongkuts Univ Technol North Bangkok, Fac Sci Appl, Dept Math, Bangkok 10800, Thailand

[2] King Mongkuts Univ Technol North Bangkok, Ctr Excellence Math, Fac Sci Appl, Dept Math, Bangkok 10800, Thailand

来源：

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2010年 / 1卷 / 03期

关键词：

Lower and upper solution; Monotone iterative technique; Impulsive differential equation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with solutions of periodic boundary value problems for the second order impulsive differential equation. We prove the existence of extreme solutions and present the method of lower and upper solutions coupled with monotone iterative technique. Some comparison results are also established.

引用

页码：153 / 164

页数：12

共 50 条

[21] Impulsive periodic boundary value problems of first-order differential equations
Li, Jianli
Nieto, Juan J.
Shen, Jianhua
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) : 226 - 236
[22] Periodic boundary value problems for second order functional differential equations
Wang W.
Shen J.
Nieto J.J.
Journal of Applied Mathematics and Computing, 2011, 36 (1-2) : 173 - 186
[23] Periodic boundary value problems for second order functional differential equations
Wei Z.-L.
Pang C.-C.
Acta Mathematicae Applicatae Sinica, 2004, 20 (1) : 37 - 44
[24] Periodic boundary value problems for the second order functional differential equations
Ding, W
Han, MA
Yan, JR
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 298 (01) : 341 - 351
[25] PERIODIC BOUNDARY VALUE PROBLEMS OF SECOND ORDER RANDOM DIFFERENTIAL EQUATIONS
Dhage, B. C.
Badgire, S. V.
Ntouyas, S. K.
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (21) : 1 - 14
[26] Positive Solutions of Second Order Impulsive Differential Equations with Boundary Value Problems
Li, Haichun
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 623 - 628
[27] Singular boundary value problems for first and second order impulsive differential equations
Agarwal R.P.
Franco D.
O'Regan D.
aequationes mathematicae, 2005, 69 (1-2) : 83 - 96
[28] Study of singular boundary value problems for second order impulsive differential equations
Lee, Yong-Hoon
Liu, Xinzhi
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 331 (01) : 159 - 176
[29] Periodic boundary value problem for second-order impulsive functional differential equations
Liang, Ruixi
Shen, Jianhua
APPLIED MATHEMATICS AND COMPUTATION, 2007, 193 (02) : 560 - 571
[30] Periodic boundary value problem for the second-order impulsive functional differential equations
Ding, W
Han, M
Mi, JR
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 50 (3-4) : 491 - 507

← 1 2 3 4 5 →