Asymptotics and oscillation for certain higher-order nonlinear dynamic equations on time scales

被引：1

作者：

Wu, Xin ^{[1
]}

Sun, Taixiang ^{[2
]}

Wang, Jiaying ^{[3
]}

机构：

[1] East China Jiaotong Univ, Sch Sci, Nanchang 330013, Peoples R China

[2] Guangxi ASEAN Res Ctr Finance & Econ, Nanning 530003, Peoples R China

[3] Univ Nottingham, Business Sch, Nottingham NG7 2RD, England

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2024年 / 14卷 / 03期

关键词：

Oscillation; Asymptotics; Higher-order nonlinear dynamic equations; Time scales; Generalized Riccati technique; CRITERIA; BEHAVIOR;

D O I：

10.1007/s13324-024-00917-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a recent paper, Hassan and O'Regan (Rocky Mt J Math 50:599-617, 2020) studied the oscillatory behavior of solutions for some higher-order nonlinear dynamic equations on time scales. In this paper, we investigate an open problem (Hassan and O'Regan in Rocky Mt J Math 50:599-617, 2020) and completely solve it by using the generalized Riccati approach and integral averaging technique. Our findings constitute an addendum to the above paper.

引用

页数：16

共 23 条

[1]

Agarwal R., 2014, Dynamic inequalities on time scales, DOI DOI 10.1007/978-3-319-11002-8

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

Agarwal, Ravi P. ;

Bohner, Martin ;

Li, Tongxing ;

Zhang, Chenghui .

APPLIED MATHEMATICS LETTERS, 2014, 31 :34-40

[3]

Bohner M., 2017, MULTIVARIABLE DYNAMI

[4]

Bohner Martin., 2001, DYNAMIC EQUATIONS TI

[5]

Georgiev SG, 2016, ATL STUD DYN SYST, P1, DOI 10.2991/978-94-6239-228-1

[6] On Oscillatory Behavior of Third Order Half-Linear Delay Differential Equations [J].

Grace, Said R. ;

Graef, John R. ;

Tunc, Ercan .

MATHEMATICA SLOVACA, 2023, 73 (03) :729-736

[7] STUDY OF OSCILLATION CRITERIA OF ODD-ORDER DIFFERENTIAL EQUATIONS WITH MIXED NEUTRAL TERMS [J].

Grace, Said R. ;

Abbas, Syed ;

Negi, Shekhar Singh .

MATHEMATICA SLOVACA, 2023, 73 (05) :1231-1242

[8] Oscillation Properties of Solutions of Second Order Neutral Dynamic Equations of Non-canonical Type on Time Scales [J].

Grace, Said R. ;

Chhatria, G. N. ;

Abbas, Syed .

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (01)

[9] New oscillatory results for non-linear delay dynamic equations with super-linear neutral term [J].

Grace, Said R. ;

Negi, Shekhar Singh ;

Abbas, Syed .

APPLIED MATHEMATICS AND COMPUTATION, 2022, 412

[10] Oscillation criteria for higher order nonlinear dynamic equations [J].

Grace, Said R. ;

Hassan, Taher S. .

MATHEMATISCHE NACHRICHTEN, 2014, 287 (14-15) :1659-1673

← 1 2 3 →