Geodesic
Implicit functions determined by equations with unbounded operators and the solvability of operator equations
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIII, Tome 248 (1998), pp. 216-224

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

For implicit functions determined by the equation $Tx+F(\lambda,x)=0$, where $T$ is an unbounded operator, existence and differentiability conditions are established. Applications concerning the solvability conditions for equations of the form $Tx+f(x)=0$ are considered. 
@article{ZNSL_1998_248_a10,
     author = {M. N. Yakovlev},
     title = {Implicit functions determined by equations with unbounded operators and the solvability of operator equations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {216--224},
     publisher = {mathdoc},
     volume = {248},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a10/}
}
TY  - JOUR
AU  - M. N. Yakovlev
TI  - Implicit functions determined by equations with unbounded operators and the solvability of operator equations
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1998
SP  - 216
EP  - 224
VL  - 248
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a10/
LA  - ru
ID  - ZNSL_1998_248_a10
ER  - 
%0 Journal Article
%A M. N. Yakovlev
%T Implicit functions determined by equations with unbounded operators and the solvability of operator equations
%J Zapiski Nauchnykh Seminarov POMI
%D 1998
%P 216-224
%V 248
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a10/
%G ru
%F ZNSL_1998_248_a10
M. N. Yakovlev. Implicit functions determined by equations with unbounded operators and the solvability of operator equations. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIII, Tome 248 (1998), pp. 216-224. http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a10/