Geodesic
Manifold Method in Eigenvector Theory of Nonlinear Operators
Contemporary Mathematics. Fundamental Directions, Functional analysis, Tome 24 (2007), pp. 3-159

Voir la notice de l'article provenant de la source Math-Net.Ru

First of all, this work is devoted to studying eigenvectors of nonlinear operators of general form. It is shown that manifolds generated by a family of linear operators are naturally connected with a nonlinear operator. These manifolds are an effective tool for studying the eigenvector problem of nonlinear, as well as linear operators. The description of the properties of the manifolds is of independent interest, and a considerable part of the work is devoted to it. 
@article{CMFD_2007_24_a0,
     author = {Ya. M. Dymarskii},
     title = {Manifold {Method} in {Eigenvector} {Theory} of {Nonlinear} {Operators}},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {3--159},
     publisher = {mathdoc},
     volume = {24},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2007_24_a0/}
}
TY  - JOUR
AU  - Ya. M. Dymarskii
TI  - Manifold Method in Eigenvector Theory of Nonlinear Operators
JO  - Contemporary Mathematics. Fundamental Directions
PY  - 2007
SP  - 3
EP  - 159
VL  - 24
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMFD_2007_24_a0/
LA  - ru
ID  - CMFD_2007_24_a0
ER  - 
%0 Journal Article
%A Ya. M. Dymarskii
%T Manifold Method in Eigenvector Theory of Nonlinear Operators
%J Contemporary Mathematics. Fundamental Directions
%D 2007
%P 3-159
%V 24
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMFD_2007_24_a0/
%G ru
%F CMFD_2007_24_a0
Ya. M. Dymarskii. Manifold Method in Eigenvector Theory of Nonlinear Operators. Contemporary Mathematics. Fundamental Directions, Functional analysis, Tome 24 (2007), pp. 3-159. http://geodesic.mathdoc.fr/item/CMFD_2007_24_a0/