Oscillation of second-order trinomial differential equations with retarded and advanced arguments

被引：5

作者：

Dzurina, Jozef ^{[1
]}

机构：

[1] Tech Univ Kosice, Fac Elect Engn & Informat, Dept Math & Theoret Informat, Letna 9, Kosice 04200, Slovakia

来源：

APPLIED MATHEMATICS LETTERS | 2024年 / 153卷

关键词：

Second-order differential equations; Retarded and advanced arguments; Monotonic properties; Oscillation; EVEN;

D O I：

10.1016/j.aml.2024.109058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce new effective technique for investigation of oscillation for the second-order trinomial differential equation with retarded and advanced arguments y ''(t) = p(t)y(tau(t)) + q(t)y(sigma(t)). Our criteria improve the existing ones and the progress is illustrated via several examples.

引用

页数：6

共 17 条

[1]

Agarwal R. P., 2002, Oscillation Theory for Second Order Dynamic Equations

[2] Oscillatory behavior of the second order functional differential equations [J].

Baculikova, B. .

APPLIED MATHEMATICS LETTERS, 2017, 72 :35-41

[3] New monotonicity properties and oscillation of n-order functional differential equations with deviating argument [J].

Baculikova, Blanka .

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023, (30) :1-10

[4] OSCILLATION OF EVEN ORDER LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH MIXED DEVIATING ARGUMENTS [J].

Baculikova, Blanka .

OPUSCULA MATHEMATICA, 2022, 42 (04) :549-560

[5]

Dosly P., 2005, N HOLLAND MATH STUDI, V202

[6]

Kiguradze I. T., 1993, Asymptotic Properties of Solutions of Non-autonomous Ordinary Differential Equations

[7]

Koplatadze R., 1977, On Oscillatory Properties of Differential Equations with Deviating Arguments

[8]

Koplatadze R., 1989, Differentsial'nye Uravneniya, V25, P1897

[9]

Koplatadze R., 1994, Mem. Differential Equations Math. Phys., V3, P1

[10]

Koplatadze R., 1999, GEORGIAN MATH J, V6, P553

← 1 2 →