Zobrazeno 1 - 10
of 58
pro vyhledávání: '"István Győri"'
Publikováno v:
Stadium, Vol 1, Iss 1 (2021)
The Hungarian Educational System, the Higher Education also Teacher Education have been constantly changing over the past decades. According to the results of international and domestic examinations, there is an increasing need for new standards and
Externí odkaz:
https://doaj.org/article/7e1f40c1634c448e8eedc7e8156f7ae4
Sharp estimation for the solutions of inhomogeneous delay differential and Halanay type inequalities
Autor:
István Győri, László Horváth
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2018, Iss 54, Pp 1-18 (2018)
This paper is devoted to inhomogeneous Halanay-type inequalities together with inhomogeneous linear delay differential inequalities and equations. Based on the the variation of constants formula and some results borrowed from a recent paper of the au
Externí odkaz:
https://doaj.org/article/85495cdf772342a987477e4c1dcf731d
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2018, Iss 53, Pp 1-21 (2018)
In this paper we consider a class of delay differential equations of the form $\dot{x}(t)=\alpha (t) h(x(t-\tau), x(t-\sigma))-\beta(t)f(x(t))$, where $h$ is a mixed monotone function. Sufficient conditions are presented for the permanence of the pos
Externí odkaz:
https://doaj.org/article/f9b5f231a249413b8e6868a83a1ce605
Autor:
István Győri, László Horváth
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 111, Pp 1-25 (2016)
Various attempts have been made to give an upper bound for the solutions of the delayed version of the Gronwall-Bellman integral inequality, but the obtained estimations are not sharp. In this paper a new approach is presented to get sharp estimation
Externí odkaz:
https://doaj.org/article/1a78bc64f840445184b5cf8e0c381e83
Autor:
István Győri, Mihály Pituk
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 72, Pp 1-14 (2016)
The linear delay differential equation $$ x'(t)=p(t)x(t-r) $$ is considered, where $r>0$ and the coefficient $p:[t_0,\infty)\to\mathbb{R}$ is a continuous function such that $p(t)\to0$ as $t\to\infty$. In a recent paper [M. Pituk, G. Röst, Bound. Va
Externí odkaz:
https://doaj.org/article/b1c7601843274f10b270956ea8f71cbc
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2015, Iss 15, Pp 1-23 (2015)
Consider the delay difference equation with continuous time of the form \[x(t)-x(t-1)+\sum_{i=1}^mP_i(t)x(t-k_i(t))=0,\qquad t\ge t_0,\] where $P_i\colon[t_0,\infty)\mapsto\mathbb{R}$, $k_i\colon[t_0,\infty)\mapsto \{2,3,4,\dots\}$ and $\lim_{t\to\in
Externí odkaz:
https://doaj.org/article/5760792cda414de881d065ed72827719
Autor:
István Győri, Ferenc Hartung
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2003, Iss 13, Pp 1-14 (2004)
In this paper we give a sufficient condition to imply global asymptotic stability of a delayed cellular neural network of the form $$ \dot x_i(t) = -d_i x_i(t)+ \sum_{j=1}^na_{ij} f(x_j(t)) +\sum_{j=1}^nb_{ij}f(x_j(t-\tau_{ij}))+u_i,\qquad t\geq0,\qu
Externí odkaz:
https://doaj.org/article/7a54f10212774f77a871aae0efc3497f
Autor:
István Győri, László Horváth
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
It is proved that any first-order globally periodic linear inhomogeneous autonomous difference equation defined by a linear operator with closed range in a Banach space has an equilibrium. This result is extended for higher order linear inhomogeneous
Externí odkaz:
https://doaj.org/article/f2b5be39801348cab7504c8585cacd54
Autor:
László Horváth, István Győri
Publikováno v:
Advances in Difference Equations, Vol 2010 (2010)
It is found that every solution of a system of linear delay difference equations has finite limit at infinity, if some conditions are satisfied. These are much weaker than the known sufficient conditions for asymptotic constancy of the solutions. Whe
Externí odkaz:
https://doaj.org/article/864e9a07f3b548f3b03994ba54bc9866
Autor:
László Horváth, István Győri
Publikováno v:
Journal of Inequalities and Applications, Vol 2008 (2008)
Asymptotic behavior of a convolution of a function with a measure is investigated. Our results give conditions which ensure that the exact rate of the convolution function can be determined using a positive weight function related to the given functi
Externí odkaz:
https://doaj.org/article/a40b43c9ef724a2db2dd1b98cc78f366