A fixed-point approach for decaying solutions of difference equations: A fixed point approach to discrete BVPs
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F21%3A00118851" target="_blank" >RIV/00216224:14310/21:00118851 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1098/rsta.2019.0374" target="_blank" >https://doi.org/10.1098/rsta.2019.0374</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1098/rsta.2019.0374" target="_blank" >10.1098/rsta.2019.0374</a>
Alternative languages
Result language
angličtina
Original language name
A fixed-point approach for decaying solutions of difference equations: A fixed point approach to discrete BVPs
Original language description
A boundary value problem associated with the difference equation with advanced argument * Delta(an phi(Delta xn))+bn phi(xn+p)=0,n >= 1 is presented, where phi(u) = |u|(alpha)sgn u, alpha > 0, p is a positive integer and the sequences a, b, are positive. We deal with a particular type of decaying solution of (*), that is the so-called intermediate solution (see below for the definition). In particular, we prove the existence of this type of solution for (*) by reducing it to a suitable boundary value problem associated with a difference equation without deviating argument. Our approach is based on a fixed-point result for difference equations, which originates from existing ones stated in the continuous case. Some examples and suggestions for future research complete the paper. This article is part of the theme issue 'Topological degree and fixed point theories in differential and difference equations'.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA20-11846S" target="_blank" >GA20-11846S: Differential and difference equations of real orders: Qualitative analysis and its applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
ISSN
1364-503X
e-ISSN
1471-2962
Volume of the periodical
379
Issue of the periodical within the volume
2191
Country of publishing house
GB - UNITED KINGDOM
Number of pages
13
Pages from-to
20190374
UT code for WoS article
000607466700007
EID of the result in the Scopus database
2-s2.0-85099269886