Landesman-Lazer conditions for difference equations involving sublinear perturbations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F16%3A43930362" target="_blank" >RIV/49777513:23520/16:43930362 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/10236198.2016.1234617" target="_blank" >http://dx.doi.org/10.1080/10236198.2016.1234617</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/10236198.2016.1234617" target="_blank" >10.1080/10236198.2016.1234617</a>

Result language
angličtina
Original language name
Landesman-Lazer conditions for difference equations involving sublinear perturbations
Original language description
We study the existence and uniqueness for discrete Neumann and periodic problems. We consider both ordinary and partial difference equations involving sublinear perturbations. All the proofs are based on reformulating these discrete problems as a general singular algebraic system. Firstly, we use variational techniques (specifically, the Saddle Point Theorem) and prove the existence result based on a type of Landesman-Lazer condition. Then we show that for a certain class of bounded nonlinearities this condition is even necessary and therefore, we specify also the cases in which there does not exist any solution. Finally, the uniqueness is discussed.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA15-07690S" target="_blank" >GA15-07690S: Partial Difference and Differential Equations on Lattices</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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