✦ LIBER ✦

Spectrum of some integro-differential operators and stability of travelling waves

✍ Scribed by A. Ducrot; M. Marion; V. Volpert

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 322 KB
Volume: 74
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2011.04.009

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✦ Synopsis

Spectral properties of some integro-differential operators on R 1 are studied. Characterisation of the principal eigenvalue is obtained in terms of the positive eigenfunction. These results are used to prove local and global stability of travelling waves and to find their speed.

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