First- and second-order dynamic equations with impulse

被引：9

作者：

Atici, F. M. ^{[1
]}

Biles, D. C. ^{[1
]}

机构：

[1] Western Kentucky Univ, Dept Math, Bowling Green, KY 42101 USA

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2005年 / 2005卷 / 02期

关键词：

D O I：

10.1155/ADE.2005.119

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present existence results for discontinuous first- and continuous second-order dynamic equations on a time scale subject to fixed-time impulses and nonlinear boundary conditions.

引用

页码：119 / 132

页数：14

共 21 条

[1]

ADJE A, 1987, THESIS U CATHOLIQUE

[2] On Green's functions and positive solutions for boundary value problems on time scales [J].

Atici, FM ;

Guseinov, GS .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 141 (1-2) :75-99

[3] First order dynamic inclusions on time scales [J].

Atici, FM ;

Biles, DC .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 292 (01) :222-237

[4] Existence results for second order boundary value problem of impulsive dynamic equations on time scales [J].

Benchohra, M ;

Ntouyas, SK ;

Ouahab, A .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 296 (01) :65-73

[5] On first order impulsive dynamic equations on time scales [J].

Benchohra, M ;

Henderson, J ;

Ntouyas, SK ;

Ouahab, A .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2004, 10 (06) :541-548

[6]

BENCHOHRA M, 2002, INT J APPL MATH, V11, P77

[7]

Bohner M., 2001, Dynamic Equations on Time Scales: AnIntroduction With Applications, DOI DOI 10.1007/978-1-4612-0201-1

[8]

Bohner M., 2003, Advances in Dynamic Equations on Time Scales: An Introduction with Applications, DOI DOI 10.1007/978-0-8176-8230-9

[9] Green's function and maximum principle for higher order ordinary differential equations with impulses [J].

Cabada, A ;

Liz, E ;

Lois, S .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2000, 30 (02) :435-446

[10] Discontinuous impulsive differential equations with nonlinear boundary conditions [J].

Cabada, A ;

Liz, E .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (09) :1491-1497

← 1 2 3 →