Oscillation of numerical solution in the Runge-Kutta methods for equation x′(t) = ax(t) + a 0 x([t])
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s10255-014-0434-4.pdf
Reference18 articles.
1. Akhmet, M.U., Y1lmaz, E. Impulsive Hopfield-type neural network system with piecewise constant argument. Nonlinear Anal. Real, 11(4): 2584–2593 (2010)
2. Akhmet, M.U., Büyükadal1, C. Differential equations with state-dependent piecewise constant argument. Nonlinear Anal., 72(11): 4200–4210 (2010)
3. Alwan, M.S., Liu, X.Z., Xie, W.C. Comparison principle and stability of differential equations with piecewise constant arguments. J. Franklin I., 350(2): 211–230 (2013)
4. Huang, Z.K., Wang, X.H., Xia, Y.H. A topological approach to the existence of solutions for nonlinear differential equations with piecewise constant argument. Chaos Soliton. Fract., 39(3): 1121–1131 (2009)
5. Li, H.X., Muroya, Y., Yuan, R. A sufficient condition for the global asymptotic stability of a class of logistic equations with piecewise constant delay. Nonlinear Anal. Real, 10(1): 244–253 (2009)
Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Asymptotical stability of Runge–Kutta methods for nonlinear impulsive differential equations;Advances in Difference Equations;2020-01-21
2. Asymptotical stability of numerical methods for semi-linear impulsive differential equations;Computational and Applied Mathematics;2019-11-06
3. Stability of Runge–Kutta methods for linear impulsive delay differential equations with piecewise constant arguments;Journal of Computational and Applied Mathematics;2016-05
4. Numerical oscillation of neutral logistic delay differential equation;Applied Mathematics and Computation;2015-05
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3