- Tytuł:
- The Generalized Saddle-Node Bifurcation of Degenerate Solution
- Autorzy:
-
Liu, Ping
Wang, Yu-Wen - Powiązania:
- https://bibliotekanauki.pl/articles/746396.pdf
- Data publikacji:
- 2005
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
Operator equation
bifurcation
generalized inverse of operator - Opis:
- In this paper we discuss the bifurcation problem for the abstract operator equation of the form \(F (u, \lambda) = \theta\) with a parameter \(\lambda\), where \(F\colon X \times R \to Y\) is a \(C^1\) mapping, \(X, Y\) are Banach spaces. By the bounded linear generalized inverse \(A^+\) of \(A = F_u (u_0 , \lambda_0 )\), an abstract bifurcation theorem for the case \(\operatorname{dim}N (F_u (u_0 , \lambda_0 )) \geq \operatorname{codim} R(F_u (u_0 , \lambda_0 )) = 1\) has been obtained.
- Źródło:
-
Commentationes Mathematicae; 2005, 45, 2
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł