- Tytuł:
- On bifurcation intervals for nonlinear eigenvalue problems
- Autorzy:
- Przybycin, Jolanta
- Powiązania:
- https://bibliotekanauki.pl/articles/1294164.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
bifurcation interval
symmetric operator
Sturm-Liouville problem
Dirichlet problem
Leray-Schauder degree
characteristic values - Opis:
- We give a sufficient condition for [μ-M, μ+M] × {0} to be a bifurcation interval of the equation u = L(λu + F(u)), where L is a linear symmetric operator in a Hilbert space, μ ∈ r(L) is of odd multiplicity, and F is a nonlinear operator. This abstract result provides an elementary proof of the existence of bifurcation intervals for some eigenvalue problems with nondifferentiable nonlinearities. All the results obtained may be easily transferred to the case of bifurcation from infinity.
- Źródło:
-
Annales Polonici Mathematici; 1999, 71, 1; 39-46
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł