Další formáty:
BibTeX
LaTeX
RIS
@article{1736936,
author = {Došlá, Zuzana and Marini, Mauro and Matucci, Serena},
article_location = {London},
article_number = {2191},
doi = {http://dx.doi.org/10.1098/rsta.2019.0374},
keywords = {boundary value problem on the half line; decaying solution; fixed-point theorem; functional discrete equations; nonlinear difference equation},
language = {eng},
issn = {1364-503X},
journal = {Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences},
title = {A fixed-point approach for decaying solutions of difference equations: A fixed point approach to discrete BVPs},
url = {https://doi.org/10.1098/rsta.2019.0374},
volume = {379},
year = {2021}
}
TY - JOUR
ID - 1736936
AU - Došlá, Zuzana - Marini, Mauro - Matucci, Serena
PY - 2021
TI - A fixed-point approach for decaying solutions of difference equations: A fixed point approach to discrete BVPs
JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
VL - 379
IS - 2191
SP - 20190374
EP - 20190374
PB - The Royal Society
SN - 1364503X
KW - boundary value problem on the half line
KW - decaying solution
KW - fixed-point theorem
KW - functional discrete equations
KW - nonlinear difference equation
UR - https://doi.org/10.1098/rsta.2019.0374
L2 - https://doi.org/10.1098/rsta.2019.0374
N2 - 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'.
ER -
DOŠLÁ, Zuzana, Mauro MARINI a Serena MATUCCI. A fixed-point approach for decaying solutions of difference equations: A fixed point approach to discrete BVPs. \textit{Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences}. London: The Royal Society, 2021, roč.~379, č.~2191, s.~20190374-20190386. ISSN~1364-503X. Dostupné z: https://dx.doi.org/10.1098/rsta.2019.0374.
|
