Geodesic
Non-zero solutions of equations with strong nonlinearities
Matematičeskie zametki, Tome 5 (1969) no. 2, pp. 253-260.

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

Existence theorems are proved for non-zero solutions of a multi-point Valle–Poussin boundary problem for differential equations with strong non-linearities. The proof is based on the construction of special cones in a Banach space, and on the application of a modification of a theorem on fixed points of operators which expand a cone. 
@article{MZM_1969_5_2_a12,
     author = {M. A. Krasnosel'skii and Yu. V. Pokornyi},
     title = {Non-zero solutions of equations with strong nonlinearities},
     journal = {Matemati\v{c}eskie zametki},
     pages = {253--260},
     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a12/}
}
TY  - JOUR
AU  - M. A. Krasnosel'skii
AU  - Yu. V. Pokornyi
TI  - Non-zero solutions of equations with strong nonlinearities
JO  - Matematičeskie zametki
PY  - 1969
SP  - 253
EP  - 260
VL  - 5
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a12/
LA  - ru
ID  - MZM_1969_5_2_a12
ER  - 
%0 Journal Article
%A M. A. Krasnosel'skii
%A Yu. V. Pokornyi
%T Non-zero solutions of equations with strong nonlinearities
%J Matematičeskie zametki
%D 1969
%P 253-260
%V 5
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a12/
%G ru
%F MZM_1969_5_2_a12
M. A. Krasnosel'skii; Yu. V. Pokornyi. Non-zero solutions of equations with strong nonlinearities. Matematičeskie zametki, Tome 5 (1969) no. 2, pp. 253-260. http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a12/