On the Oscillation of Solutions of Differential Equations with Neutral Term

被引：3

作者：

Mofarreh, Fatemah ^{[1
]}

Almutairi, Alanoud ^{[2
]}

Bazighifan, Omar ^{[3
,4
]}

Aiyashi, Mohammed A. ^{[5
]}

Vilcu, Alina-Daniela ^{[6
]}

机构：

[1] Princess Nourah Bint Abdulrahman Univ, Fac Sci, Math Sci Dept, Riyadh 11546, Saudi Arabia

[2] Univ Hafr Al Batin, Fac Sci, Dept Math, POB 1803, Hafar Al Batin 31991, Saudi Arabia

[3] Int Telemat Univ Uninettuno, Sect Math, I-00186 Rome, Italy

[4] Hadhramout Univ, Fac Sci, Dept Math, Hadhramout 50512, Yemen

[5] Jazan Univ, Fac Sci, Dept Math, Jazan 218, Saudi Arabia

[6] Petr Gas Univ Ploiesti, Dept Comp Sci Informat Technol Math & Phys, Ploiesti 100680, Romania

来源：

MATHEMATICS | 2021年 / 9卷 / 21期

关键词：

oscillation; even order; neutral coefficients; differential equation; CRITERIA; BEHAVIOR;

D O I：

10.3390/math9212709

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, new criteria for the oscillatory behavior of even-order delay differential equations with neutral term are established by comparison technique, Riccati transformation and integral averaging method. The presented results essentially extend and simplify known conditions in the literature. To prove the validity of our results, we give some examples.

引用

页数：10

共 35 条

[1] Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions [J].

Agarwal, Ravi P. ;

Bazighifan, Omar ;

Ragusa, Maria Alessandra .

ENTROPY, 2021, 23 (02) :1-10

[2] A new approach in the study of oscillatory behavior of even-order neutral delay differential equations [J].

Agarwal, Ravi P. ;

Bohner, Martin ;

Li, Tongxing ;

Zhang, Chenghui .

APPLIED MATHEMATICS AND COMPUTATION, 2013, 225 :787-794

[3] Oscillation criteria for certain nth order differential equations with deviating arguments [J].

Agarwal, RP ;

Grace, SR ;

O'Regan, D .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 262 (02) :601-622

[4]

Agarwal RP., 2003, OSCILLATION THEORY 2

[5]

Agarwal RP., 2000, Oscillation Theory for Difference and Functional Differential Equations

[6] Oscillation of second-order nonlinear noncanonical differential equations with deviating argument [J].

Baculikova, Blanka .

APPLIED MATHEMATICS LETTERS, 2019, 91 :68-75

[7]

Baculkov B., 2012, J. Math. Sci, V187, P387, DOI [10.1007/s10958-012-1071-1, DOI 10.1007/S10958-012-1071-1]

[8]

Bainov D. D., 1991, OSCILLATION THEORY N

[9] New Criteria for Oscillation of Half-Linear Differential Equations with p-Laplacian-like Operators [J].

Bazighifan, Omar ;

Ghanim, F. ;

Awrejcewicz, Jan ;

Al-Ghafri, Khalil S. ;

Al-Kandari, Maryam .

MATHEMATICS, 2021, 9 (20)

[10] On the Qualitative Behavior of Third-Order Differential Equations with a Neutral Term [J].

Bazighifan, Omar ;

Mofarreh, Fatemah ;

Nonlaopon, Kamsing .

SYMMETRY-BASEL, 2021, 13 (07)

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