Oscillations of differential equations with several non-monotone advanced arguments

被引：6

作者：

Chatzarakis, G. E. ^{[1
]}

Ocalan, Ozkan ^{[2
]}

机构：

[1] ASPETE, Sch Pedag & Technol Educ, Dept Elect & Elect Engn Educators, Athens 14121, Greece

[2] Afyon Kocatepe Univ, Fac Sci & Arts, Dept Math, ANS Campus, TR-03200 Afyon, Turkey

来源：

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2015年 / 30卷 / 03期

关键词：

differential equation; non-monotone argument; advanced argument; oscillatory solutions; non-oscillatory solutions; NONOSCILLATION; COEFFICIENTS; DELAY;

D O I：

10.1080/14689367.2015.1036007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider the first-order advanced differential equation of the form x'(t) - Sigma(m)(i=1) q(i)(t)x (sigma(i)(t)) = 0, t >= t(0), where q(i), 1 <= i <= m are functions of non- negative real numbers, and sigma(i), 1 <= i <= m are functions of positive real numbers such that sigma(i)(t) > t for t >= t(0). New oscillation criteria, involving lim sup and lim inf, are established, in the case of non-monotone advanced arguments. An example illustrating the results is also given.

引用

页码：310 / 323

页数：14

共 50 条

[31] Oscillations of nonlinear differential equations with several deviating arguments
Chatzarakis, George E.
Dix, Julio G.
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2018, (39) : 1 - 12
[32] Oscillations of differential equations generated by several deviating arguments
George E Chatzarakis
Tongxing Li
Advances in Difference Equations, 2017
[33] Iterative oscillation tests for difference equations with several non-monotone arguments (vol 21, pg 854, 2015)
Braverman, E.
Chatzarakis, G. E.
Stavroulakis, I. P.
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2020, 26 (06) : I - V
[34] New Explicit Oscillation Criteria for First-Order Differential Equations with Several Non-Monotone Delays
Attia, Emad
El-Matary, Bassant
MATHEMATICS, 2023, 11 (01)
[35] GLOBAL CONVERGENCE TO EQUILIBRIA IN NON-MONOTONE DELAY DIFFERENTIAL EQUATIONS
El-Morshedy, Hassan A.
Ruiz-Herrera, Alfonso
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 147 (05) : 2095 - 2105
[36] OSCILLATIONS OF NEUTRAL DIFFERENTIAL DIFFERENCE EQUATIONS WITH SEVERAL RETARDED ARGUMENTS
阮炯
Science China Mathematics, 1986, (11) : 1132 - 1144
[37] OSCILLATIONS OF NEUTRAL DIFFERENTIAL DIFFERENCE EQUATIONS WITH SEVERAL RETARDED ARGUMENTS
阮炯
ScienceinChina,SerA., 1986, Ser.A.1986 (11) : 1132 - 1144
[38] Oscillation Criteria for First Order Differential Equations with Non-Monotone Delays
Attia, Emad R.
El-Morshedy, Hassan A.
Stavroulakis, Ioannis P.
SYMMETRY-BASEL, 2020, 12 (05):
[39] OSCILLATIONS OF NEUTRAL DIFFERENTIAL DIFFERENCE-EQUATIONS WITH SEVERAL RETARDED ARGUMENTS
RUAN, JO
SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES, 1986, 29 (11): : 1132 - 1144
[40] OSCILLATIONS OF NEUTRAL DIFFERENTIAL DIFFERENCE EQUATIONS WITH SEVERAL RETARDED ARGUMENTS.
Ruan Jiong
Scientia sinica. Series A. Mathematical, physical, astronomical and technical sciences, 1986, 29 (11): : 1132 - 1144

← 1 2 3 4 5 →