期刊文献+

一类反应扩散方程波前解的存在性 被引量:2

Existence of Traveling Wave Fronts in a Class of Reaction Diffusion Systems
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摘要 通过定义上下解,在反应项是拟单调的条件下,利用Schauder不动点定理得到了具有时滞和超前反应扩散方程波前解的存在性. Existence of traveling wave front for reaction diffusion systems with retardation and anticipation is obtained by defining the upper and lower solutions and using Schauder's fixed point theorem when the reaction term satisfies the quasi-monotonicity condition.
作者 武红艳
出处 《太原师范学院学报(自然科学版)》 2016年第2期32-33,59,共3页 Journal of Taiyuan Normal University:Natural Science Edition
关键词 具有时滞和超前的反应扩散方程 波前解 上下解 SCHAUDER不动点定理 reaction diffusion systems with retardation and anticipation traveling wave front upper and lower solutions Schauder's fixed point theorem
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参考文献6

  • 1WU Jianhong,ZOU Xingfu. Traveling wave fronts of reaction-diffusion stems with delay [J]. Dynamic Differential Equations, 2001,13 : 651-687. 被引量:1
  • 2MA Siwang. Traveling wave fronts for delayed reaction-diffusion systems via a fixed point theorem[J]. J. Differential Equa-tions, 2001,171:294-314. 被引量:1
  • 3WANG Zaicheng,LI Wantong,RUAN Shigui. Existence and stability of traveling wave fronts in reaction advection diffusion equations with nonlocal delay[J]. J. Differential Equations, 2007,238 : 153-200. 被引量:1
  • 4CHERN I Liang, MEI ming,YANG Xiangfeng. Stability of non-monotone critical traveling waves for reaction-diffusion equa- tions with time delay[J]. J. Differential Equations,2015,259:1503-1541. 被引量:1
  • 5YAO Meiping,ZHAO Aimin,YAN Jurang. Monotone method for first order functional differential equations with retardation and anticipation[J]. Nonlinear Analysis, 2009,71 : 4223-4230. 被引量:1
  • 6武红艳.具有时滞和超前反应扩散方程的行波解[J].太原师范学院学报(自然科学版),2015,14(4):12-13. 被引量:1

二级参考文献7

  • 1WU Jianhong, ZOU Xingfu. Existence of traveling wave fronts in delayed reaction-diffusion systems via the monotone iteration methodrJ']. Proc. Amer. Math. Soc, 1997,125:2589-2598. 被引量:1
  • 2WU Jianhong,ZOU Xingfu. Traveling wave fronts of reaction-diffusion stems with delay[J]. Dynamic Differential Equations, 2001,13:651-687. 被引量:1
  • 3MA Siwang. Traveling wave fronts for delayed reaction-diffusion systems via a fixed point Theorem[J]. J. Differentia[ Equa tions, 2001,171 : 294-314. 被引量:1
  • 4WANG Zaicheng,LI Wantong,RUAN Shigui. Existence and stability of traveling wave fronts in reaction advection diffusion equations with nonlocal delayl-J']. J. Differential Equations,2007,238:153-200. 被引量:1
  • 5CHERN I Liang, Meiming. Stability of non-monotone critical traveling waves for reaction diffusion equations with time-delay [J]. J. Differential Equations,2015(3). 被引量:1
  • 6YAO Meiping,ZHAO Aimin,YAN J urang. Monotone method for first order functional differential equations with retardation and anticipation[J]. Nonlinear Analysis, 2009,71 : 4223-4230. 被引量:1
  • 7武红艳.一类捕食与被捕食模型的行波解[J].太原师范学院学报(自然科学版),2011,10(4):17-19. 被引量:2

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