New Conditions for Testing the Asymptotic and Oscillatory Behavior of Solutions of Neutral Differential Equations of the Fourth Order

被引：3

作者：

Nabih, Amany ^{[1
,2
]}

Moaaz, Osama ^{[1
,3
]}

AlNemer, Ghada ^{[4
]}

Elabbasy, Elmetwally M. ^{[1
]}

机构：

[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

[2] Higher Future Inst Engn & Technol Mansoura, Dept Basic Sci, Mansoura 35516, Egypt

[3] Qassim Univ, Coll Sci, Dept Math, POB 6644, Buraydah 51452, Saudi Arabia

[4] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 105862, Riyadh 11656, Saudi Arabia

来源：

AXIOMS | 2023年 / 12卷 / 02期

关键词：

oscillation; differential equation; neutral delay; noncanonical case; CRITERIA;

D O I：

10.3390/axioms12020219

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, in the noncanonical case, we find new properties for a class of positive solutions of fourth-order differential equations. These properties allow us to obtain iterative criteria that exclude positive decreasing solutions, and we then establish sufficient conditions to guarantee that all solutions to the examined equation oscillate. The importance of applying the results to a special case of the investigated equation is demonstrated.

引用

页数：16

共 50 条

[31] Oscillatory and asymptotic behavior of advanced differential equations
Bazighifan, Omar
Chatzarakis, George E.
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[32] Oscillatory Behavior of Second-Order Neutral Differential Equations
Marianna Ruggieri
Shyam Sundar Santra
Andrea Scapellato
Bulletin of the Brazilian Mathematical Society, New Series, 2022, 53 : 665 - 675
[33] On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations
Li, Tongxing
Rogovchenko, Yuriy, V
APPLIED MATHEMATICS LETTERS, 2020, 105
[34] ASYMPTOTIC AND OSCILLATORY BEHAVIOR OF SECOND ORDER NEUTRAL QUANTUM EQUATIONS WITH MAXIMA
Anderson, Douglas R.
Kwiatkowski, Jon D.
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (16) : 1 - 9
[35] On oscillatory fourth-order non-linear neutral differential equations
Tripathy, Arun Kumar
Panda, Bharati
INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2016, 6 (02) : 147 - 160
[36] Asymptotic Behavior of Solutions of the Third Order Nonlinear Mixed Type Neutral Differential Equations
Moaaz, Osama
Chalishajar, Dimplekumar
Bazighifan, Omar
MATHEMATICS, 2020, 8 (04)
[37] On the oscillation and asymptotic behavior of solutions of third order nonlinear differential equations with mixed nonlinear neutral terms
Salem, Shaimaa
El-Sheikh, Mohamed M. A.
Hassan, Ahmed M.
TURKISH JOURNAL OF MATHEMATICS, 2024, 48 (02) : 221 - 247
[38] New Comparison Theorems to Investigate the Asymptotic Behavior of Even-Order Neutral Differential Equations
Almarri, Barakah
Moaaz, Osama
Abouelregal, Ahmed E.
Essam, Amira
SYMMETRY-BASEL, 2023, 15 (05):
[39] Oscillatory solutions of nonlinear fourth order differential equations with a middle term
Bartusek, Miroslav
Dosla, Zuzana
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2014, (55) : 1 - 9
[40] Oscillatory behavior of second-order nonlinear noncanonical neutral differential equations
Grace, Said R.
Graef, John R.
Li, Tongxing
Tunc, Ercan
ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2023, 15 (02) : 259 - 271

← 1 2 3 4 5 →