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非线性微分方程(组)的单调方法 被引量:1

The Monotone Method of Nonlinear Differential Equations
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摘要 首先建立了弱耦合的微分不等式组的极值原理。 The paper first estabilishes the maximum principle for the weakly coupled differential inequalities, and then, discusses the monotone method for the initial value problems of three types of differential equations.
出处 《纺织高校基础科学学报》 CAS 1996年第3期229-232,共4页 Basic Sciences Journal of Textile Universities
基金 国家自然科学基金
关键词 极值原理 初值问题 单调方法 非线性微分方程 maximum principle, initial value problem, monotone method
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  • 1OKUBO A,LEVVINL A.Diffusion and Ecological problems:Modern perspective[M].2nd Edition.New York:Springer-Verlag,2001.
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  • 6WONLY K,KIMUN R.Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge[J].J Differential Equations,2006,231:534-550.
  • 7LOU Y,NI W,M.Diffusion vs cross-diffusion:an ellipitc approach[J].J Differential Equations,1996,131:157-190.
  • 8GILBARG N S.Elliptic partial differential equations of second order[M].New York:Springer-Verlag,1983.
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