Oscillation of Second-Order Neutral Differential Equations

被引：42
|
作者：
Li, Tongxing [1 ]
Rogovchenko, Yuri V. [2 ]
Zhang, Chenghui [1 ]
机构：
[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China
[2] Univ Agder, Fac Sci & Engn, N-4604 Kristiansand, Norway
来源：
FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2013年 / 56卷 / 01期
关键词：
Oscillation; Neutral differential equations; Delayed arguments; Advanced arguments; Positive solutions; Comparison; CRITERIA;
D O I：
10.1619/fesi.56.111
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study oscillatory behavior of a class of second-order neutral differential equations relating oscillation of these equations to existence of positive solutions to associated first-order functional differential inequalities. Our assumptions allow applications to differential equations with both delayed and advanced arguments, and not only. New theorems complement and improve a number of results reported in the literature. Two illustrative examples are provided.
引用
收藏
页码：111 / 120
页数：10
相关论文
共 50 条
  • [41] Oscillation Theorems for Second-Order Quasilinear Neutral Functional Differential Equations
    Sun, Shurong
    Li, Tongxing
    Han, Zhenlai
    Li, Hua
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [42] Forced oscillation of second-order neutral equations
    Wang, PG
    Ge, WG
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2000, 21 (10) : 1197 - 1200
  • [43] Forced oscillation of second-order neutral equations
    Wang Pei-guang
    GE Wei-gao
    Applied Mathematics and Mechanics, 2000, 21 (10) : 1197 - 1200
  • [44] On oscillation of second-order neutral dynamic equations
    Tao Ji
    Shuhong Tang
    Ethiraju Thandapani
    Advances in Difference Equations, 2013
  • [45] On oscillation of second-order neutral dynamic equations
    Ji, Tao
    Tang, Shuhong
    Thandapani, Ethiraju
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [46] FORCED OSCILLATION OF SECOND-ORDER NEUTRAL EQUATIONS
    王培光
    葛渭高
    Applied Mathematics and Mechanics(English Edition), 2000, (10) : 1197 - 1200
  • [47] Oscillation of second order neutral differential equations
    Zhang, Bing-gen
    Kexue Tongbao/Science Bulletin, 1990, 35 (09):
  • [48] OSCILLATION OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS
    张炳根
    Science Bulletin, 1990, (09) : 712 - 718
  • [49] Forced Oscillation of Second-Order Differential Equations Involving Superlinearity in Neutral Term
    Ozdemir, Orhan
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (04)
  • [50] New Sufficient Conditions for Oscillation of Second-Order Neutral Delay Differential Equations
    Hassan, Taher S.
    Moaaz, Osama
    Nabih, Amany
    Mesmouli, Mouataz Billah
    El-Sayed, Ahmed M. A.
    AXIOMS, 2021, 10 (04)
12345