OSCILLATORY PROPERTIES OF EVEN-ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS

被引：4
作者：
Bazighifan, Omar [1 ,2 ]
Scapellato, Andrea [3 ]
机构：
[1] Hadhramout Univ, Fac Sci, Dept Math, Hadhramout 50512, Yemen
[2] Seiyun Univ, Fac Educ, Dept Math, Seiyun 50512, Yemen
[3] Univ Catania, Dipartimento Matemat & Informat, Viale Andrea Doria 6, I-95125 Catania, Italy
来源：
MISKOLC MATHEMATICAL NOTES | 2020年 / 21卷 / 02期
关键词：
oscillatory solutions; nonoscillatory solutions; advanced differential equations; Riccati transformation; comparison theorem; BEHAVIOR; THEOREMS;
D O I：
10.18514/MMN.2020.3387
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to investigate oscillatory properties of even-order advanced differential equations. The key idea of our approach is to conduct a comparison with first order equations and use the Riccati transformation technique. Some new oscillation criteria are shown. Two examples are presented in order to clarify the main results.
引用
收藏
页码：641 / 652
页数：12
相关论文
共 25 条
[1]  
Agarwal RP, 2004, MATH COMPUT MODEL, V39, P1185, DOI 10.1016/j.mcm2002.11.003
[2]   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
[3]  
[Anonymous], 2019, MATHEMATICS BASEL, DOI DOI 10.3390/math7070619
[4]   Oscillation of higher-order differential equations with distributed delay [J].
Bazighifan, O. ;
Elabbasy, E. M. ;
Moaaz, O. .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
[5]   On the asymptotic and oscillatory behavior of the solutions of a class of higher-order differential equations with middle term [J].
Bazighifan, Omar ;
Ramos, Higinio .
APPLIED MATHEMATICS LETTERS, 2020, 107
[6]   Kamenev and Philos-types oscillation criteria for fourth-order neutral differential equations [J].
Bazighifan, Omar .
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[7]   An Improved Criterion for the Oscillation of Fourth-Order Differential Equations [J].
Bazighifan, Omar ;
Ruggieri, Marianna ;
Scapellato, Andrea .
MATHEMATICS, 2020, 8 (04)
[8]   Oscillation of Fourth-Order Functional Differential Equations with Distributed Delay [J].
Cesarano, Clemente ;
Bazighifan, Omar .
AXIOMS, 2019, 8 (02)
[9]   OSCILLATORY BEHAVIOR OF SECOND ORDER NONLINEAR DIFFERENCE EQUATIONS WITH A NONLINEAR NONPOSITIVE NEUTRAL TERM [J].
Grace, Said R. ;
Graef, John R. .
MISKOLC MATHEMATICAL NOTES, 2019, 20 (02) :899-910
[10]   On the oscillation of fourth-order delay differential equations [J].
Grace, Said R. ;
Dzurina, Jozef ;
Jadlovska, Irena ;
Li, Tongxing .
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
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