Non-zero solutions of equations with strong nonlinearities
Matematičeskie zametki, Tome 5 (1969) no. 2, pp. 253-260
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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},
year = {1969},
volume = {5},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/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/