Oscillation criteria for solution to partial dynamic equations on time scales

被引：1
|
作者：
Ramesh, R. [1 ]
Dix, Julio G. [2 ]
Harikrishnan, S. [3 ]
Prakash, P. [4 ]
机构：
[1] Muthayammal Coll Engn, Dept Math, Rasipuram 637408, India
[2] Texas State Univ, Dept Math, 601 Univ Dr, San Marcos, TX 78666 USA
[3] Sona Coll Technol, Dept Math, Salem 636005, India
[4] Periyar Univ, Dept Math, Salem 636011, India
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2020年 / 49卷 / 05期
关键词：
oscillation; partial dynamic equations; time scales; DIFFERENTIAL-EQUATIONS;
D O I：
10.15672/hujms.554157
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the oscillatory behavior of solutions to partial dynamic equation on time scales. We establish several oscillation criteria by applying a Ricatti transformation. Examples are provided to justify our results.
引用
收藏
页码：1788 / 1797
页数：10
相关论文
共 50 条
  • [1] OSCILLATION CRITERIA FOR IMPULSIVE DYNAMIC EQUATIONS ON TIME SCALES
    Huang, Mugen
    Feng, Weizhen
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
  • [2] Oscillation criteria of certain delay dynamic equations on time scales
    Zhang, BG
    Yan, XZ
    Liu, XY
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2005, 11 (10) : 933 - 946
  • [3] Oscillation criteria for nonlinear damped dynamic equations on time scales
    Erbe, Lynn
    Hassan, Taher S.
    Peterson, Allan
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 203 (01) : 343 - 357
  • [4] Oscillation criteria for solution of hyperbolic delay dynamic equations with time and spatial variables on arbitrary time scales
    Ramesh, R.
    Harikrishnan, S.
    Prakash, P.
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2021, 67 (1-2) : 207 - 219
  • [5] Oscillation criteria for solution of hyperbolic delay dynamic equations with time and spatial variables on arbitrary time scales
    R. Ramesh
    S. Harikrishnan
    P. Prakash
    Journal of Applied Mathematics and Computing, 2021, 67 : 207 - 219
  • [6] Oscillation criteria for nonlinear neutral functional dynamic equations on time scales
    Kubiaczyk, I.
    Saker, S. H.
    Sikorska-Nowak, A.
    MATHEMATICA SLOVACA, 2013, 63 (02) : 263 - 290
  • [7] Oscillation criteria for second-order dynamic equations on time scales
    Agarwal, Ravi P.
    Bohner, Martin
    Li, Tongxing
    Zhang, Chenghui
    APPLIED MATHEMATICS LETTERS, 2014, 31 : 34 - 40
  • [8] Oscillation criteria for nonlinear functional neutral dynamic equations on time scales
    Erbe, Lynn
    Hassan, Taher S.
    Peterson, Allan
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2009, 15 (11-12) : 1097 - 1116
  • [9] Oscillation criteria for half-linear dynamic equations on time scales
    Hassan, Taher S.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (01) : 176 - 185
  • [10] Oscillation Criteria of Second-Order Dynamic Equations on Time Scales
    Zhu, Ya-Ru
    Mao, Zhong-Xuan
    Liu, Shi-Pu
    Tian, Jing-Feng
    MATHEMATICS, 2021, 9 (16)
12345