OSCILLATION CRITERIA FOR A CLASS OF HIGHER ORDER NONLINEAR DIFFERENTIAL EQUATIONS

被引:0
|
作者
Tanigawa, Tomoyuki [1 ]
机构
[1] Joetsu Univ Educ, Fac Sci Educ, Dept Math, Niigata 9438512, Japan
关键词
Oscillation theory; Higher order nonlinear differential equations;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The higher order nonlinear differential equation (broken vertical bar((n))(X)broken vertical bar(alpha) sgn x((n)))((n)) + q(t)broken vertical bar x broken vertical bar(beta) sgn x = 0 is considered, where a and 33 are distinct positive constants and q: [0, +infinity) [0, +infinity) is a continuous function. Necessary and sufficient conditions for oscillation of all proper solutions of this equation are established.
引用
收藏
页码:137 / 152
页数:16
相关论文
共 50 条
  • [1] Oscillation Criteria for a Class of Second Order Nonlinear Differential Equations
    Misir, Adil
    Ogrekci, Suleyman
    GAZI UNIVERSITY JOURNAL OF SCIENCE, 2016, 29 (04): : 923 - 927
  • [2] SHARP OSCILLATION CRITERIA FOR A CLASS OF FOURTH ORDER NONLINEAR DIFFERENTIAL EQUATIONS
    Kusano, T.
    Manojlovic, J.
    Tanigawa, T.
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2011, 41 (01) : 249 - 274
  • [3] OSCILLATION CRITERIA FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING
    Tunc, E.
    Avci, H.
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 4 (02): : 40 - 50
  • [4] Oscillation criteria for a class of nonlinear fourth order neutral differential equations
    Tripathy, A. K.
    MATHEMATICA SLOVACA, 2013, 63 (02) : 243 - 262
  • [5] Oscillation Criteria for a Class of Higher Even Order Neutral Functional Differential Equations
    Bai, Yu
    Shi, Ailing
    PROCEEDINGS OF THE FOURTH INTERNATIONAL CONFERENCE OF MODELLING AND SIMULATION (ICMS2011), VOL 1, 2011, : 395 - 398
  • [7] Oscillation criteria for a class of third-order nonlinear neutral differential equations
    Zhong, Jichao
    Ouyang, Zigen
    Zou, Shuliang
    JOURNAL OF APPLIED ANALYSIS, 2011, 17 (02) : 155 - 163
  • [8] Some oscillation criteria for a class of second order nonlinear damped differential equations
    Salhin, Ambarka Abdalla
    Din, Ummul Khair Salma
    Ahmad, Rokiah Rozita
    Noorani, Mohd Salmi Md
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 247 : 962 - 968
  • [9] Oscillation criteria for higher order functional differential equations
    Agarwal, RP
    Grace, SR
    DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2004, : 1 - 12
  • [10] Oscillation criteria for higher order nonlinear dynamic equations
    Grace, Said R.
    Hassan, Taher S.
    MATHEMATISCHE NACHRICHTEN, 2014, 287 (14-15) : 1659 - 1673