期刊文献+

脉冲时滞抛物型方程组解的存在唯一性(英文) 被引量:1

Existence and Uniqueness of the Solution for Parabolic Systems with Impulse and Delay
原文传递
导出
摘要 在本文中,我们定义了一类脉冲时滞抛物型方程组的上解与下解,并利用上下解方法研究了此脉冲时滞抛物型方程组解的存在唯一性,得到一些新的结论。给出了在生态学中一个应用. In this paper, for a parabolic system with impulses and delay, we define its upper and lower solutions. By using the method of upper and lower solutions, the existence and uniqueness of solutions are investigated. And some new results are obtained. An application is given to a model in ecology.
出处 《生物数学学报》 2016年第2期158-170,共13页 Journal of Biomathematics
基金 Supported by NSF of China(11161011) Foundation of the Technology Institution of Guizhou Province(LKS[2011]14)
关键词 脉冲时滞抛物型方程组 上下解 存在 唯一 Parabolic systems with impulse and delay Upper and lower solutions Existence Uniqueness
  • 相关文献

参考文献3

二级参考文献20

  • 1Bainov, D.D, Simeonov, P.S. Impulsive differential equations: asymptotic properties of the solutions.World Scientific, Singapore, 1995
  • 2Erbe, L.H, Freedman, H.I, Wu, J.H. Comparison principles for impulsive parabolic equations with applications to models of single species growth. J. Austral Math. Soc. (series B), 32:382-400 (1991)
  • 3Kirane, M, Rogovchenko, YU.V. Comparison results for systems of impulse parabolic equations with applications to population dynamics. Nonlinear Analysis, 28(2): 263-276 (1997)
  • 4Lakshmikantham, V, Bainov, D.D, Simeonov, P.S. Theory of impulsive differential equations. World Scientific, Singapore, 1989
  • 5Liu, X.Z, Sivaloganathan, S, Zhang, S.H. Monotone iterative techniques for time-dependent problems with applications. J. Math. Anal Appl, 237:1-18 (1999)
  • 6Rogovchenko, YU.V. Comparison principles for systems of impulsive parabolic equations. Annali. Mat.Pura. Appl, CLXX: 311-328 (1997)
  • 7Samoilenko, A.M, Perestyuk, N.A. Differential equations with impulsive action. Vyshcha Shkola Kiev,1987 (in Russian)
  • 8Yie, Q.X, Li, Z.Y. Theory of reaction-diffusion equations, Science Press, Beijing 1990
  • 9Wu J. Theory and Applications of Partial Functional Differential Equations[M]. New York: Springer-Verlag, 1996.
  • 10Erbe L H, Freedmann H I, Liu X Z, et al. Comparison principles for impulsive parabolic equations with application to models of single species growth[J]. J.Aust.Math.Soc.Ser, 1991, B32:382-400.

共引文献2

同被引文献6

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部