Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIII, Tome 248 (1998), pp. 225-230
Citer cet article
M. N. Yakovlev. Solvability of nonlinear equations in a cone of a Banach space. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIII, Tome 248 (1998), pp. 225-230. http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a11/
@article{ZNSL_1998_248_a11,
author = {M. N. Yakovlev},
title = {Solvability of nonlinear equations in a cone of a {Banach} space},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {225--230},
year = {1998},
volume = {248},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a11/}
}
TY - JOUR
AU - M. N. Yakovlev
TI - Solvability of nonlinear equations in a cone of a Banach space
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1998
SP - 225
EP - 230
VL - 248
UR - http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a11/
LA - ru
ID - ZNSL_1998_248_a11
ER -
%0 Journal Article
%A M. N. Yakovlev
%T Solvability of nonlinear equations in a cone of a Banach space
%J Zapiski Nauchnykh Seminarov POMI
%D 1998
%P 225-230
%V 248
%U http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a11/
%G ru
%F ZNSL_1998_248_a11
The solvability conditions for the equation $Tu+F(u)=0$ are found in the case where the operator $[T+F'(u)]^{-1}$ exists only for $u\in K$, where $K$ is a cone in the Banach space $X$. An application concerning the solvability of boundary-value problems for a system of second-order differential equations is provided.
