A Note on bifurcations of u ''+mu(u-u(k)) = 0(4 <= k epsilon Z(+))

Authors
Li, CP
Citation
Cp. Li, A Note on bifurcations of u ''+mu(u-u(k)) = 0(4 <= k epsilon Z(+)), APP MATH ME, 21(3), 2000, pp. 265-274
Citations number
6
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827 → ACNP
Volume
21
Issue
3
Year of publication
2000
Pages
265 - 274
Database
ISI
SICI code
0253-4827(200003)21:3<265:ANOBOU>2.0.ZU;2-C
Abstract
Bifurcations of one kind of reaction-diffusion equations, u" + mu ( u - u(k )) = 0(mu is a parameter, 4 less than or equal to k epsilon Z(+)), with bou ndary value condition u(0) = u(rr) = 0 are discussed. By means of singulari ty theory based on the method of Liapunov-Schmidt reduction, satisfactory r esults can be acquired.