OSCILLATION OF FOURTH-ORDER DYNAMIC EQUATIONS

被引：0
|
作者：
Grace, Said R. [3 ]
Bohner, Martin [1 ,2 ]
Sun, Shurong [4 ]
机构：
[1] Missouri Univ Sci & Technol, Dept Econ & Finance, Rolla, MO 65409 USA
[2] Missouri Univ Sci & Technol, Dept Math, Rolla, MO 65409 USA
[3] Cairo Univ, Dept Engn Math, Fac Engn, Giza 12221, Egypt
[4] Univ Jinan, Sch Sci, Jinan 250022, Shandong, Peoples R China
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2010年 / 39卷 / 04期
关键词：
Oscillation; Fourth-order; Dynamic equation; Time scales; THEOREMS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we shall reduce the problem of the oscillation of all solutions of certain nonlinear fourth-order dynamic equations to the problem of oscillation of two second-order dynamic equations, which are discussed intensively in the literature. Further oscillation criteria of fourth-order equations are given and proved using integration and Taylor's formula on time scales. Some conditions are presented that ensure that all bounded solutions of the equation are oscillatory.
引用
收藏
页码：545 / 553
页数：9
相关论文
共 50 条
  • [41] Sharp oscillation theorem for fourth-order linear delay differential equations
    Irena Jadlovská
    Jozef Džurina
    John R. Graef
    Said R. Grace
    [J]. Journal of Inequalities and Applications, 2022
  • [42] Sharp oscillation theorem for fourth-order linear delay differential equations
    Jadlovska, Irena
    Dzurina, Jozef
    Graef, John R.
    Grace, Said R.
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
  • [43] Oscillation of fourth-order strongly noncanonical differential equations with delay argument
    Baculikova, B.
    Dzurina, J.
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
  • [44] New Oscillation Criteria for Neutral Delay Differential Equations of Fourth-Order
    Althubiti, Saeed
    Bazighifan, Omar
    Alotaibi, Hammad
    Awrejcewicz, Jan
    [J]. SYMMETRY-BASEL, 2021, 13 (07):
  • [45] New oscillation criteria for nonlinear delay differential equations of fourth-order
    Moaaz, Osama
    Muhib, Ali
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2020, 377
  • [46] Fourth-order Elliptic Equations
    Harrabi, A.
    [J]. ADVANCED NONLINEAR STUDIES, 2014, 14 (03) : 593 - 604
  • [47] A Philos-Type Oscillation Criteria for Fourth-Order Neutral Differential Equations
    Bazighifan, Omar
    Cesarano, Clemente
    [J]. SYMMETRY-BASEL, 2020, 12 (03):
  • [48] Oscillation theorems for fourth-order delay differential equations with a negative middle term
    Dzurina, Jozef
    Jadlovska, Irena
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (18) : 7830 - 7842
  • [49] Oscillation theorems for fourth-order quasi-linear delay differential equations
    Masood, Fahd
    Moaaz, Osama
    Santra, Shyam Sundar
    Fernandez-Gamiz, U.
    El-Metwally, Hamdy A.
    [J]. AIMS MATHEMATICS, 2023, 8 (07): : 16291 - 16307
  • [50] New Conditions for Testing the Oscillation of Fourth-Order Differential Equations with Several Delays
    Muhib, Ali
    Moaaz, Osama
    Cesarano, Clemente
    Askar, Sameh S.
    [J]. SYMMETRY-BASEL, 2022, 14 (05):
12345