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

Krzysztof Moszyński. "Mixed nonlinear functional equations and approximation of their solutions. The theory of J. Descloux and J. Rappaz. I. Regular and critical points. Bifurcation." Mathematica Applicanda 12.24 (1985): null. <http://eudml.org/doc/292597>.

@article{KrzysztofMoszyński1985,
abstract = {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.},
author = {Krzysztof Moszyński},
journal = {Mathematica Applicanda},
keywords = {Methods for solving equations involving nonlinear operator; Abstract bifurcation theory; Equations with nonlinear operators},
language = {eng},
number = {24},
pages = {null},
title = {Mixed nonlinear functional equations and approximation of their solutions. The theory of J. Descloux and J. Rappaz. I. Regular and critical points. Bifurcation},
url = {http://eudml.org/doc/292597},
volume = {12},
year = {1985},
}

TY - JOUR
AU - Krzysztof Moszyński
TI - Mixed nonlinear functional equations and approximation of their solutions. The theory of J. Descloux and J. Rappaz. I. Regular and critical points. Bifurcation
JO - Mathematica Applicanda
PY - 1985
VL - 12
IS - 24
SP - null
AB - 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.
LA - eng
KW - Methods for solving equations involving nonlinear operator; Abstract bifurcation theory; Equations with nonlinear operators
UR - http://eudml.org/doc/292597
ER -