Oscillation of integro-dynamic equations on time scales

被引：22

作者：

Grace, Said R. ^{[1
]}

Graef, John R. ^{[2
]}

Zafer, Agacik ^{[3
]}

机构：

[1] Cairo Univ, Fac Engn, Dept Engn Math, Giza 12221, Egypt

[2] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

[3] Middle E Tech Univ, Dept Math, TR-06800 Ankara, Turkey

来源：

APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 04期

关键词：

Integro-dynamic equations; Oscillation; Time scales; Volterra equations; BEHAVIOR;

D O I：

10.1016/j.aml.2012.10.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors initiate the study of oscillation theory for integro-dynamic equations on time-scales. They present some new sufficient conditions guaranteeing that the oscillatory character of the forcing term is inherited by the solutions. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：383 / 386

页数：4

共 8 条

[1]

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

[2] Oscillatory behavior of solutions of Volterra summation equations [J].

Graef, JR .

APPLIED MATHEMATICS LETTERS, 1999, 12 (07) :79-84

[3]

Hardy Godfrey Harold, 1952, Inequalities, V2nd

[4] OSCILLATIONS OF VOLTERRA INTEGRAL-EQUATIONS WITH DELAY [J].

KARAKOSTAS, G ;

STAVROULAKIS, IP ;

WU, YM .

TOHOKU MATHEMATICAL JOURNAL, 1993, 45 (04) :583-605

[5]

Onose H., 1990, Hiroshima Math. J, V20, P223

[6] ON OSCILLATORY AND NONOSCILLATORY BEHAVIOR OF SOLUTIONS OF VOLTERRA INTEGRAL-EQUATIONS [J].

PARHI, N ;

MISRA, N .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1983, 94 (01) :137-149

[7]

Singh B, 1995, CZECH MATH J, V45, P699

[8] ASYMPTOTIC-BEHAVIOR AND OSCILLATION OF DIFFERENCE-EQUATIONS OF VOLTERRA TYPE [J].

THANDAPANI, E ;

LALLI, BS .

APPLIED MATHEMATICS LETTERS, 1994, 7 (01) :89-93

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