Matematičeskie zametki, Tome 5 (1969) no. 2, pp. 253-260
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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/
@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},
year = {1969},
volume = {5},
number = {2},
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
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
%U http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a12/
%G ru
%F MZM_1969_5_2_a12
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.
