Name
Title | ||
|---|---|---|
Global asymptotic stability of traveling waves in delayed reaction-diffusion equations |
Abstract | ||
|---|---|---|
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 super- and subsolution comparison and squeezing methods. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1137/S0036141098346785 | SIAM J. Math. Analysis |
Keywords | Field | DocType |
delayed reaction-diffusion equations,comparison principle,super- and subsolutions,traveling waves | Uniqueness,Differential equation,Mathematical optimization,Traveling wave,Mathematical analysis,Exponential stability,Comparison theorem,Reaction–diffusion system,Mathematics | Journal |
Volume | Issue | ISSN |
31 | 3 | 0036-1410 |
Citations | PageRank | References |
16 | 2.89 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hal L. Smith | 1 | 111 | 31.87 |
| Xiaoqiang Zhao | 2 | 122 | 25.75 |