A Generalization of Multiplicity and the Problem of Bifurcation
β Scribed by Magnus, R. J.
- Book ID
- 120102783
- Publisher
- Oxford University Press
- Year
- 1976
- Tongue
- English
- Weight
- 572 KB
- Volume
- s3-32
- Category
- Article
- ISSN
- 0024-6115
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π SIMILAR VOLUMES
## Abstract Let __n__β>β1 be an integer and let __a__~2~,__a__~3~,β¦,__a__~__n__~ be nonnegative integers such that $\sum\_{i=2}^{n} a\_i=2^{n-1} - 1$. Then $K\_{2^n}$ can be factored into $a\_2 C\_{2^2}$βfactors, $a\_3 C\_{2^3}$βfactors,β¦,$a\_n C\_{2^n}$βfactors, plus a 1βfactor. Β© 2002 Wiley Perio
Combining a bifurcation theorem with a local LerayαSchauder degree theorem of Krasnoselskii and Zabreiko in the case of a simple singular point, we obtain an existence result on the number of small solutions for a class of functional bifurcation equations. Since this result contains the information