Mixed nonlinear functional equations and approximation of their solutions. The theory of J. Descloux and J. Rappaz. I. Regular and critical points. Bifurcation

• Autorzy: Krzysztof Moszyński
• Języki publikacji: EN

Abstrakty

PL

.

EN

The contents of part I lie in the compilation of papers by Descloux and Rappaz ["On numerical approximation of solution branches of nonlinear equations'', École Polytech. Lausanne, Lausanne, 1981; per bibl.; RAIRO Anal. Numér. 16 (1982), no. 4, 319–349; MR0684829]. In Banach spaces the author investigates the implicit nonlinear operator equation F(x)=0 with a sufficiently smooth operator F. He formulates the notions of regular and critical points of an operator and studies the behaviour of the solutions of the equation in the neighbourhood of such points. The theoretical considerations are based on a version of the implicit function theorem.

Słowa kluczowe

EN

Methods for solving equations involving nonlinear operator; Abstract bifurcation theory; Equations with nonlinear operators

• Wydawca: Polish Mathematical Society
• Czasopismo: Mathematica Applicanda
• Rocznik: 1985
• Tom: 12
• Numer: 24

Daty

wydano

1985

online

2016-10-21

Twórcy

autor

Krzysztof Moszyński

Identyfikatory

DOI

10.14708/ma.v12i24.1626