Hille and Nehari type criteria for third-order delay dynamic equations

被引：46

作者：

Agarwal, Ravi P. ^{[1
]}

Bohner, Martin ^{[2
]}

Li, Tongxing ^{[3
]}

Zhang, Chenghui ^{[3
]}

机构：

[1] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX 78363 USA

[2] Missouri S&T, Dept Math & Stat, Rolla, MO 65409 USA

[3] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2013年 / 19卷 / 10期

关键词：

asymptotic behaviour; delay dynamic equation; third-order equation; time scale; 34K11; 34N05; 39A10; OSCILLATION CRITERIA; ASYMPTOTIC-BEHAVIOR;

D O I：

10.1080/10236198.2013.766729

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of this note is to present new Hille and Nehari type asymptotic criteria for a class of third-order delay dynamic equations on a time scale. Assumptions in our theorems are less restrictive, whereas the proofs are significantly simpler compared to those reported in the literature. The results obtained extend and improve some previous results.

引用

页码：1563 / 1579

页数：17

共 35 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]

Agarwal R.P., 2005, Can. Appl. Math. Quart, V13, P1

[3] Oscillation and asymptotic behavior of third-order nonlinear retarded dynamic equations [J].

Agarwal, Ravi P. ;

Bohner, Martin ;

Tang, Shuhong ;

Li, Tongxing ;

Zhang, Chenghui .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (08) :3600-3609

[4] Oscillation criteria for second-order nonlinear neutral delay dynamic equations [J].

Agarwal, RP ;

O'Regan, D ;

Saker, SH .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 300 (01) :203-217

[5]

Akin-Bohner E, 2007, ELECTRON T NUMER ANA, V27, P1

[6]

[Anonymous], 2006, ADV DIFFERENCE EQU

[7]

[Anonymous], ELECT J DIFFERENTIAL

[8]

[Anonymous], CAN APPL MATH Q

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

Bohner, M ;

Saker, SH .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2004, 34 (04) :1239-1254

[10]

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

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