Oscillation criteria for nonlinear functional differential equations of neutral type

被引：0
作者：
Fatima N Ahmed
Rokiah Rozita Ahmad
Ummul Khair Salma Din
Mohd Salmi Md Noorani
机构：
[1] Universiti Kebangsaan Malaysia,School of Mathematical Sciences, Faculty of Science and Technology
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
oscillations; neutral delay differential equations; nonlinear; 54H25; 54C60; 54E50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, some new sufficient conditions for the oscillation of all solutions of nonlinear neutral delay differential equations are established aiming at extending and/or improving some well known results in the literature. Our main results are obtained by employing the Riccati transformation aiming to transfer the neutral equation to a nonneutral type and then using some inequality techniques. Some illustrative examples are also included.
引用
收藏
相关论文
共 42 条
  • [1] Driver RD(1984)A mixed neutral system Nonlinear Anal. 8 155-158
  • [2] Boe E(1989)Dynamics of delayed systems under feedback control Chem. Eng. Sci. 44 1281-1294
  • [3] Chang HC(2014)Some further results on oscillations for neutral delay differential equations with variable coefficients Abstr. Appl. Anal. 2014 293-314
  • [4] Ahmed FN(2008)Oscillation criteria for some classes of linear delay differential equations of first order Bull. Inst. Math. Acad. Sin. 3 313-323
  • [5] Ahmad RR(1992)Oscillation of odd order neutral differential equations Czechoslov. Math. J. 42 205-212
  • [6] Din UKS(2000)Oscillation of neutral functional differential equations Acta Math. Hung. 86 261-278
  • [7] Noorani MSM(2002)Oscillation of solutions to nonlinear neutral delay differential equations J. Appl. Anal. 8 225-242
  • [8] Karpuz B(2003)New oscillation criteria for first order nonlinear neutral delay differential equations Appl. Math. Comput. 14 187-194
  • [9] Ocalan O(2003)Oscillation of first order neutral delay differential equations Electron. J. Qual. Theory Differ. Equ. 2003 784-790
  • [10] Gopalsamy K(2014)Oscillations for neutral functional differential equations Sci. World J. 2014 99-118
12345