High-Order Nonlinear Functional Differential Equations: New Monotonic Properties and Their Applications

被引：0

作者：

Alrashdi, Hail S. ^{[1
]}

Moaaz, Osama ^{[2
,3
]}

AlNemer, Ghada ^{[4
]}

Elabbasy, Elmetwally M. ^{[3
]}

机构：

[1] Univ Tabuk, Fac Sci, Dept Math, POB 741, Tabuk 71491, Saudi Arabia

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

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

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

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 03期

关键词：

functional differential equations; delay; higher-order; oscillatory; non-canonical case; OSCILLATORY BEHAVIOR;

D O I：

10.3390/fractalfract7030271

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide streamlined criteria for evaluating the oscillatory behavior of solutions to a class of higher-order functional differential equations in the non-canonical case. We use a comparison approach with first-order equations that have standard oscillation criteria. Normally, in the non-canonical situation, the oscillation test requires three independent conditions, but we provide criteria with two-conditions without checking the additional conditions. Lastly, we give examples to highlight the significance of the findings.

引用

页数：10

共 28 条

[1]

Agarwal R.P., 2004, Nonoscillation and oscillation: Theory for functional differential equations, Monographs and

[2]

Agarwal R. P., 2000, OSCILLATION THEORY D, DOI 10.1007/978- 94-015-9401-1

[3] Oscillation Results for Solutions of Fractional-Order Differential Equations [J].

Alzabut, Jehad ;

Agarwal, Ravi P. ;

Grace, Said R. ;

Jonnalagadda, Jagan M. .

FRACTAL AND FRACTIONAL, 2022, 6 (09)

[4] On the oscillation of higher-order delay differential equations [J].

B. Baculíková ;

J. Džurina ;

J. R. Graef .

Journal of Mathematical Sciences, 2012, 187 (4) :387-400

[5]

Braun M., 1993, DIFF EQUAT+, V11

[6] Oscillation criteria for third-order delay differential equations [J].

Chatzarakis, George E. ;

Grace, Said R. ;

Jadlovska, Irena .

ADVANCES IN DIFFERENCE EQUATIONS, 2017,

[7] On nonexistence of Kneser solutions of third-order neutral delay differential equations [J].

Dzurina, J. ;

Grace, S. R. ;

Jadlovska, I .

APPLIED MATHEMATICS LETTERS, 2019, 88 (193-200) :193-200

[8]

Grace S.R., 2017, ELECTRON J QUAL THEO, V24, P329

[9] On the oscillatory behavior of solutions of higher order nonlinear fractional differential equations [J].

Grace, Said R. ;

Tunc, Ercan .

GEORGIAN MATHEMATICAL JOURNAL, 2018, 25 (03) :363-369

[10] On the Asymptotic Behavior of Nonoscillatory Solutions of Certain Fractional Differential Equations [J].

Grace, Said R. .

MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (02)

← 1 2 3 →