Existence of nonoscillatory solutions to neutral dynamic equations on time scales

被引：66

作者：

Zhu, Zhi-Qiang

Wang, Qi-Ru ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

[2] Guangdong Polytech Univ, Dept Comp Sci, Guangzhou 510665, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 335卷 / 02期

基金：

中国国家自然科学基金;

关键词：

neatral dynamic equations; time scales; nonoscillatory solutions; existence;

D O I：

10.1016/j.jmaa.2007.02.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give an analogue of the Arzela-Ascoli theorem on time scales. Then, we establish the existence of nonoscillatory solutions to the neutral dynamic equation [x(t) + p(t)x(g(t))](Delta) + f (t, x (h (t))) = 0 on a time scale. To dwell upon the importance of our results, three interesting examples are also included. (c) 2007 Elsevier Inc. All rights reserved.

引用

收藏

页码：751 / 762

页数：12

相关论文

共 10 条

[1] Dynamic equations on time scales: a survey [J].

Agarwal, R ;

Bohner, M ;

O'Regan, D ;

Peterson, A .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 141 (1-2) :1-26

[2]

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

[3]

Chen Y., 1992, FUNKC EKVACIOJ-SER I, V35, P557

[4] Kamenev-type and interval oscillation criteria for second-order linear differential equations on a measure chain [J].

Del Medico, A ;

Kong, QK .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 294 (02) :621-643

[5] Oscillation criteria for second-order nonlinear dynamic equations on time scales [J].

Erbe, L ;

Peterson, A ;

Saker, SH .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2003, 67 :701-714

[6] Oscillation criteria for second-order matrix dynamic equations on a time scale [J].

Erbe, L ;

Peterson, A .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 141 (1-2) :169-185

[7]

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

[8] Oscillation for neutral dynamic functional equations on time scales [J].

Mathsen, RM ;

Wang, QR ;

Wu, HW .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2004, 10 (07) :651-659

[9] Oscillation of nonlinear dynamic equations on time scales [J].

Saker, SH .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 148 (01) :81-91

[10] Frequency measures on time scales with applications [J].

Zhu, Zhi-Qiang ;

Wang, Qi-Ru .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 319 (02) :398-409