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《Mathematics in Practice and Theory》 2013-17
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Traveling Wavefront Solutions for Reaction-Diffusion Equation with Small Delay

SUN Cui-na;ZHAO Zhi-hong;MA Wan-biao;University of Science and Technology;  
The existence of traveling wave for a class of reaction-diffution equation with small descrete delay is studied,where the reaction decomposed into a linear term and a nonlinear term with delay.We mainly use the inertial manifold theory and the reaction term does not has monotonous or quasimonotones,when delay is small enough.
【Fund】: 高等学校博士点专项基金(20020558092)
【CateGory Index】: O175.2
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 PAN Jie,\ LI Shu-yong (Department of Mathematics, Sichuan Agriculture University, Ya'an 625014, China);TRAVELING WAVE FORNTS OF THE MICHAELIS-MENTENREACTION-DIFFUSION EQUATION WITH DELAY[J];Journal of Anhui Normal University(Natural Science);2005-02
2 XIE Xi-zhuang1,ZHANG Jing-wei2(1.School of Mathematical Science,Huaqiao University,Quanzhou 362021,China;2.Shunyi No.9 Middle School,Beijing 101300,China);Traveling Wave Solutions of Gilpin-Ayala Competing System with Stage Structure[J];Journal of Changchun Normal University;2011-06
3 DENG Xi-jun(School of Information Science and Mathematics,Yangtze University,Jingzhou,Hubei 434023);Travelling Wave Fronts for the Diffusive Musca Domestica Houseflies Model with Discrete Delay[J];Chinese Journal of Engineering Mathematics;2008-04
4 SONG Ling-yu1,LIU Fu-min2(1-School of Science,Chang’an University,Xi’an 710064;2-Education Department,Weinan Vocational and Technical College,Weinan 714000);Traveling Wavefronts for a Two-species Predator-prey System with Diusion Terms and Stage Structure[J];Chinese Journal of Engineering Mathematics;2011-05
5 XIAO Cun-tao,SONG Chang-xiu(School of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China);Traveling Wavefronts for the Lattice Nicholson's Blowflies Equation with Delay[J];Journal of Guangdong University of Technology;2006-03
6 PAN Shu-xia,XIANG Hong(School of Science,Lanzhou Univ.of Tech.,Lanzhou 730050, China);Travelling wave solutions of competitive Lotka-Volterra system with time delay[J];Journal of Lanzhou University of Technology;2007-06
7 PAN Shu-xia(School of Science,Lanzho Univ.of Tech.,Lanzhou 730050,China);Traveling wave solution for a class of population model with time delay[J];Journal of Lanzhou University of Technology;2010-02
8 WU Shi-liang1,OUYANG Zi-kao2,ZHAO Hai-qin3(1.School of Sciences,Xi'an University of Electronic Science and Technology,Xi'an 710071,China;2.Dept of Mathematics,Neijiang Teachers' College,Neijiang,641112,China;3.Dept of Mathematics,Xianyang Normal College,Xianyang,712000,China);Traveling Wave Solutions in a Nonlocal Diffusive-Delayed Model with Staged Structures[J];Journal of Gansu Sciences;2007-03
9 PAN Shu-xia(School of Science,Lanzhou University of Science and Technology,Lanzhou 730050,China);Travelling Wave Solutions of Gilpin-Ayala Competitive System with Delays[J];Journal of Gansu Sciences;2008-03
10 Tang Yanbin Wu Qinghua(Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074,China);Traveling waves solution to reciprocal model with age sections structure[J];Journal of Huazhong University of Science and Technology(Nature Science Edition);2006-10
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