Zobrazeno 1 - 10
of 103
pro vyhledávání: '"Zdeněk Šmarda"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-17 (2024)
Abstract We show that the system of difference equations x n + k = x n + l y n − e f x n + l + y n − e − f , y n + k = y n + l x n − e f y n + l + x n − e − f , n ∈ N 0 , $$ x_{n+k}=\frac{x_{n+l}y_{n}-ef}{x_{n+l}+y_{n}-e-f},\quad y_{n+k
Externí odkaz:
https://doaj.org/article/b2190716e79741f3934ad1da435d1550
Publikováno v:
Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-11 (2022)
Abstract We study a nonlinear second-order difference equation which considerably extends some equations in the literature. Our main result shows that the difference equation is solvable in closed form. Some applications of the main result are also g
Externí odkaz:
https://doaj.org/article/7dce01cd2ccd4ee9b46facd17078a337
Publikováno v:
Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-7 (2022)
Abstract We present an example of a difference equation of arbitrary order, possessing the right-hand side function that is homogeneous to a certain degree and nonincreasing in each variable, which has a unique positive equilibrium, as well as soluti
Externí odkaz:
https://doaj.org/article/929a8e5045974f31b120d04ae255b745
Publikováno v:
Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-12 (2021)
Abstract There has been some recent interest in investigating the hyperbolic-cotangent types of difference equations and systems of difference equations. Among other things their solvability has been studied. We show that there is a class of theoreti
Externí odkaz:
https://doaj.org/article/3bd212bb82934d53817120926d571d22
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-16 (2021)
Abstract Some results on the long-term behavior of solutions to a class of difference equations, which includes numerous nonlinear difference equations of various orders that attracted some attention in the last 15 years, are presented. We also prese
Externí odkaz:
https://doaj.org/article/aeb9a1caa32f4644862307c36538ec33
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-11 (2021)
Abstract We obtain a family of first order sine-type difference equations solvable in closed form in a constructive way, and we present a general solution to each of the equations.
Externí odkaz:
https://doaj.org/article/29502b54b6be4e848270c3a5b3641b57
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-12 (2020)
Abstract We describe a method for constructing one of the basic classes of solvable hyperbolic-cosine-type difference equations, generalizing a known difference equation by Laplace in a natural way.
Externí odkaz:
https://doaj.org/article/4540bc161bc34fdd8a500b4d3cbe552a
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-13 (2020)
Abstract It is known that every solution to the second-order difference equation x n = x n − 1 + x n − 2 = 0 $x_{n}=x_{n-1}+x_{n-2}=0$ , n ≥ 2 $n\ge 2$ , can be written in the following form x n = x 0 f n − 1 + x 1 f n $x_{n}=x_{0}f_{n-1}+x_{
Externí odkaz:
https://doaj.org/article/d9df97170300443684a15b11feb9df95
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-19 (2019)
Abstract In a recent paper several periodic systems of difference equations have been presented. We show in an elegant way that all the results therein follow from some known ones. We also show how some extensions of the systems of difference equatio
Externí odkaz:
https://doaj.org/article/b4a5b77ba9e445399da69d4ad5dceb45
Autor:
Josef Rebenda, Zdeněk Šmarda
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-13 (2019)
Abstract The purpose of this paper is to propose a semi-analytical technique convenient for numerical approximation of solutions of the initial value problem for p-dimensional delayed and neutral differential systems with constant, proportional and t
Externí odkaz:
https://doaj.org/article/715fdc52e7484409800266ead7fce73d