The Generalized saddle-node bifurcation of degenerate solution

• Autorzy: Liu P. , Wang Y-W.
• Języki publikacji: EN

Abstrakty

EN

In this paper we discuss the bifurcation problem for the abstract operator equation of the form F(u,λ)=θ with a parameter lambda, where F:X x R -> Y is a C^1 mapping, X, Y are Banach spaces. By the bounded linear generalized inverse A^+ of A=F_u(u_0 λ_0), an abstract bifurcation theorem for the case dim N(F_u(u_0 λ_0)) >= codim R(F_u(u_0,λ_0))=1 has been obtained

Słowa kluczowe

EN

operator equation; bifurcation; generalized inverse of operator

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2005
• Tom: Vol. 45, [Z] 2
• Strony: 145--150
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Liu P.

• Departament of Mathematics, Northeast Normal University, China

autor

Wang Y-W.

• Departament of Mathematics, Northeast Normal University, China

Bibliografia

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