Oscillation result for half-linear delay difference equations of second-order

被引：8

作者：

Jayakumar, Chinnasamy ^{[1
]}

Santra, Shyam Sundar ^{[2
]}

Baleanu, Dumitru ^{[3
,4
,5
]}

Edwan, Reem ^{[6
]}

Govindan, Vediyappan ^{[7
]}

Murugesan, Arumugam ^{[8
]}

Altanji, Mohamed ^{[9
]}

机构：

[1] Mahendra Arts & Sci Coll Autonomous, Dept Math, Kalipatti, Tamil Nadu, India

[2] JIS Coll Engn, Dept Math, Kalyani 741235, W Bengal, India

[3] Cankaya Univ Ankara, Fac Arts & Sci, Dept Math & Comp Sci, TR-06790 Etimesgut, Turkey

[4] Inst Space Sci, Magurele 077125, Magurele, Romania

[5] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[6] Taibah Univ, Coll Sci & Arts, Al Almadinah Al Alunawwa 344, Saudi Arabia

[7] Dmi St John Baptist Univ, Dept Math, Cent Africa 800, Malawi

[8] Govt Arts Coll Autonomous, Dept Math, Salem 636007, Tamil Nadu, India

[9] King Khalid Univ, Coll Sci, Dept Math, Abha 61413, Saudi Arabia

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2022年 / 19卷 / 04期

关键词：

oscillation; non-oscillation; second-order; delay; half-linear; difference equations; SYSTEMS; STABILITY; BEHAVIOR;

D O I：

10.3934/mbe.2022178

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we obtain the new single-condition criteria for the oscillation of second order half-linear delay difference equation. Even in the linear case, the sharp result is new and, to our knowledge, improves all previous results. Furthermore, our method has the advantage of being simple to prove, as it relies just on sequentially improved monotonicities of a positive solution. Examples are provided to illustrate our results.

引用

页码：3879 / 3891

页数：13

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