Positive Non-monotone Solutions of Second-Order Delay Differential Equations

被引：0

作者：

George E. Chatzarakis

Lana Horvat-Dmitrović

Mervan Pašić

机构：

[1] School of Pedagogical and Technological Education (ASPETE),Department of Electrical and Electronic Engineering Educators

[2] University of Zagreb,Faculty of Electrical Engineering and Computing Department of Applied Mathematics

来源：

Bulletin of the Malaysian Mathematical Sciences Society | 2019年 / 42卷

关键词：

Delay differential equations; Non-monotonic behavior; Second-order; Nonlinear term; Dual equation; 34A30; 34B30; 34C10; 34C11;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study the non-monotonic behavior of solutions of the second-order delay differential equations. We establish the criteria for positive solutions to be non-monotonic on a bounded interval. The results are the first to be reported on the non-monotonic behavior of solutions of functional differential equations. In the final section, two examples are given which illustrate the significance of our results.

引用

页码：637 / 648

页数：11

共 50 条

[21] OSCILLATION FOR SECOND-ORDER DIFFERENTIAL EQUATIONS WITH DELAYOSCILLATION FOR SECOND-ORDER DIFFERENTIAL EQUATIONS WITH DELAY
Baculikova, Blanka
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[22] On oscillations of solutions to second-order linear delay differential equations
Oplustil, Zdenek
Sremr, Jiri
GEORGIAN MATHEMATICAL JOURNAL, 2013, 20 (01) : 65 - 94
[23] PERIODIC SOLUTIONS FOR A CLASS OF SECOND-ORDER DIFFERENTIAL DELAY EQUATIONS
Wu, Xuan
Xiao, Huafeng
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 20 (12) : 4253 - 4269
[24] NONTRIVIAL PERIODIC SOLUTIONS FOR SECOND-ORDER DIFFERENTIAL DELAY EQUATIONS
Wang, Qi
Liu, Wenjie
Wang, Mei
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (03): : 931 - 941
[25] 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
[26] POSITIVE PERIODIC SOLUTIONS TO A CLASS OF SECOND-ORDER DIFFERENTIAL EQUATIONS
KOLESOV, YS
DOKLADY AKADEMII NAUK SSSR, 1967, 172 (02): : 264 - &
[27] Positive Periodic Solutions of Second-Order Differential Equations with Delays
Li, Yongxiang
ABSTRACT AND APPLIED ANALYSIS, 2012,
[28] Bounded positive solutions of nonlinear second-order differential equations
Yin, ZY
DIFFERENTIAL EQUATIONS, 2006, 42 (01) : 26 - 36
[29] Bounded positive solutions of nonlinear second-order differential equations
Zhaoyang Yin
Differential Equations, 2006, 42 : 26 - 36
[30] THROUGHOUT POSITIVE SOLUTIONS OF SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATIONS
Zhang, Zhenguo
Wang, Chunjiao
Li, Qiaoluan
Li, Fang
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,

← 1 2 3 4 5 →