An oscillation of the solution for a nonlinear second-order stochastic differential equation

被引：0
作者：
Komashynska, Iryna [1 ]
Al-Smadi, Mohammed [2 ]
Ateiwi, Ali [3 ]
Al E'damat, Ayed [3 ]
机构：
[1] Univ Jordan, Fac Sci, Dept Math, Amman 11942, Jordan
[2] Al Balqa Appl Univ, Ajloun Coll, Dept Appl Sci, Ajloun 26816, Jordan
[3] Al Hussein Bin Talal Univ, Fac Sci, Dept Math, POB 20, Maan, Jordan
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2016年 / 20卷 / 05期
关键词：
Oscillation; Stochastic differential equations; Zeros of solutions; Wiener process; Ito integral; CUBIC-SPLINES; STABILITY; SYSTEMS; MODELS;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we study the oscillatory properties for asymptotic behaviors of solutions of a class of nonlinear second-order stochastic Ito equations. Meanwhile, we investigate existence of zeros of its solutions with probability 1. Sufficient conditions for the oscillation and nonoscillation of solutions are obtained on the half-line [t(0), infinity) for every t(0) > 0.
引用
收藏
页码：860 / 868
页数：9
相关论文
共 33 条
  • [21] Komashynska I.V., 2006, J MATH STAT, V2, P460
  • [22] Existence and Uniqueness of Solutions for a Class of Nonlinear Stochastic Differential Equations
    Komashynska, Iryna Volodymyrivna
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [23] Lomtatidze A., 1999, Georgian Math. J., V6, P285
  • [24] Mao X, 1997, Stochastic differential equations and applications, DOI DOI 10.1533/9780857099402
  • [25] STOCHASTIC OSCILLATORS
    MARKUS, L
    WEERASINGHE, A
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1988, 71 (02) : 288 - 314
  • [26] Milstein G.N., 2004, Stochastic Numerics for Mathematical Physics
  • [27] Oksendal B, 2002, STOCHASTIC DIFFERENT
  • [28] On invariant tori for a stochastic Ito system
    Samoilenko A.M.
    Stanzhyts'kyj O.M.
    Ateiwi A.M.
    [J]. Journal of Dynamics and Differential Equations, 2005, 17 (4) : 737 - 758
  • [29] Samoilenko A.M., 2011, QUALITATIVE ASYMPTOT
  • [30] Oscillation Theorems for Second-Order Forced Neutral Nonlinear Differential Equations with Delayed Argument
    Shao, Jing
    Meng, Fanwei
    [J]. INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 2010
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