In:
Proceedings of the Edinburgh Mathematical Society, Cambridge University Press (CUP), Vol. 42, No. 1 ( 1999-02), p. 83-93
Abstract:
In this paper, finite travelling waves for the semilinear parabolic systems are studied, where d i 〉 0, e i 〉 0, m ij ≥ 0 for all 1 ≤ i,j ≤ n , and for all 1 ≤ i ≤ n . Let M = (m ij ) n × n and A = I – M . It will be proved that (*) has finite travelling waves if and only if all principal minors of A are positive. Moreover, some asymptotic behaviours of finite travelling waves will be obtained.
Type of Medium:
Online Resource
ISSN:
0013-0915
,
1464-3839
DOI:
10.1017/S0013091500020034
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
1999
detail.hit.zdb_id:
1465484-2
SSG:
17,1
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