New oscillation criteria for second-order half-linear advanced differential equations

被引：66

作者：

Chatzarakis, G. E. ^{[1
]}

Dzurina, J. ^{[2
]}

Jadlovska, I ^{[2
]}

机构：

[1] Educators Sch Pedag & Technol Educ ASPETE, Dept Elect & Elect Engn, 14121 N Heraklio, Athens, Greece

[2] Tech Univ Kosice, Fac Elect Engn & Informat, Dept Math & Theoret Informat, Letna 9, Kosice 04200, Slovakia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 347卷

关键词：

Second-order differential equation; Advanced argument; Oscillation; Asymptotic properties; Noncanonical operators;

D O I：

10.1016/j.amc.2018.10.091

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of this paper is to offer sufficient conditions for the oscillation and asymptotic behavior of all solutions of second-order half-linear differential equations with advanced argument of the form (r(y')(alpha))' (t) + q(t)y(alpha) (sigma(t)) = 0, when integral(infinity) r(-1/alpha) (s) ds < infinity. Our criteria substantially improve, simplify and complement a number of existing ones. The results obtained are illustrated by an example on the Euler type equations. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：404 / 416

页数：13

共 50 条

[21] Comparison theorems for oscillation of second-order half-linear differential equations
Jitsuro Sugie
Naoto Yamaoka
[J]. Acta Mathematica Hungarica, 2006, 111 : 165 - 179
[22] Comparison theorems for oscillation of second-order half-linear differential equations
Sugie, J
Yamaoka, N
[J]. ACTA MATHEMATICA HUNGARICA, 2006, 111 (1-2) : 165 - 179
[23] Geometrical conditions for oscillation of second-order half-linear differential equations
J. Sugie
[J]. Acta Mathematica Hungarica, 2008, 118 : 369 - 394
[24] Interval oscillation of second-order half-linear functional differential equations
Li, WT
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 155 (02) : 451 - 468
[25] Oscillation criteria for neutral second-order half-linear differential equations with applications to Euler type equations
Simona Fišnarová
Robert Mařík
[J]. Boundary Value Problems, 2014
[26] NEW OSCILLATION CRITERIA FOR THIRD-ORDER HALF-LINEAR ADVANCED DIFFERENTIAL EQUATIONS
Jianli Yao
Xiaoping Zhang
Jiangbo Yu
[J]. Annals of Applied Mathematics, 2020, 36 (03) : 309 - 330
[27] Oscillation criteria for neutral second-order half-linear differential equations with applications to Euler type equations
Fisnarova, Simona
Marik, Robert
[J]. BOUNDARY VALUE PROBLEMS, 2014,
[28] OSCILLATION CRITERIA FOR SECOND-ORDER HALF-LINEAR DELAY DIFFERENTIAL EQUATIONS WITH MIXED NEUTRAL TERMS
Grace, Said R.
Graef, John R.
Jadlovska, Irena
[J]. MATHEMATICA SLOVACA, 2019, 69 (05) : 1117 - 1126
[29] KNESER-TYPE OSCILLATION CRITERIA FOR SECOND-ORDER HALF-LINEAR ADVANCED DIFFERENCE EQUATIONS
Indrajith, N.
Graef, John R.
Thandapani, E.
[J]. OPUSCULA MATHEMATICA, 2022, 42 (01) : 55 - 64
[30] Kneser-type oscillation criteria for second-order half-linear delay differential equations
Jadlovska, Irena
Dzurina, Jozef
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2020, 380

← 1 2 3 4 5 →