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On turning points

Authors :
W. Stork
P. Robinowitz
Source :
Mathematical Methods in the Applied Sciences. 5:491-515
Publication Year :
1983
Publisher :
Wiley, 1983.

Abstract

For a family {T + Nλ: λ ϵ [a, b]} of semilinear operators T + Nλ in L2(Ω) the solution set {(λ, uλ) ϵ J × D(T): Tuλ + Nλuλ = h} is investigated with respect to turning points. By Ljapunov-Schmidt-reduction and calculation of the derivatives of the bifurcation equation a class of turning points is characterized by properties of these derivatives.

Details

ISSN :
01704214
Volume :
5
Database :
OpenAIRE
Journal :
Mathematical Methods in the Applied Sciences
Accession number :
edsair.doi...........a4e20dec45d5742d1a397e7ba12df23d