Global Asymptotic Stability of Traveling Waves in Delayed Reaction-Diffusion Equations
نویسندگان
چکیده
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. Supported by NSF Grant DMS 9700910.
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 31 شماره
صفحات -
تاریخ انتشار 2000