Global Asymptotic Stability of Traveling Waves in Delayed Reaction-Diffusion Equations
نویسندگان
چکیده
منابع مشابه
Global Asymptotic Stability of Traveling Waves in Delayed Reaction-Diffusion Equations
The existence and comparison theorem of solutions is first established for the quasimonotone delayed reaction-diffusion equations on R by appealing to the theory of abstract functional differential equations. The global asymptotic stability, Liapunov stability and uniqueness of traveling wave solutions are then proved by the elementary superand sub-solution comparison and squeezing methods. Sup...
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Article history: Received 29 November 2008 Revised 28 March 2009 Available online 22 April 2009 MSC: 35K57 34K30 35R10
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2000
ISSN: 0036-1410,1095-7154
DOI: 10.1137/s0036141098346785