Zobrazeno 1 - 10
of 99
pro vyhledávání: '"Ewa Schmeidel"'
Publikováno v:
Mathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 6819-6840 (2021)
In this paper, we investigate the existence of global attractors, extreme stability, periodicity and asymptotically periodicity of solutions of the delayed population model with survival rate on isolated time scales given by $ x^{\Delta} (t) = \ga
Externí odkaz:
https://doaj.org/article/06de57332b07429680ab4616bee9f283
Autor:
Barbara Łupińska, Ewa Schmeidel
Publikováno v:
Mathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 7269-7279 (2021)
In this work, some class of the fractional differential equations under fractional boundary conditions with the Katugampola derivative is considered. By proving the Lyapunov-type inequality, there are deduced the conditions for existence, and non-exi
Externí odkaz:
https://doaj.org/article/135385de037f4432b47c41ffef15cc43
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-19 (2019)
Abstract This work is an attempt at studying leader-following model on the arbitrary time scale. The step size is treated as a function of time. Our purpose is establishing conditions ensuring a leader-following consensus for any time scale basing on
Externí odkaz:
https://doaj.org/article/dfde9eec38754234b77194cdac8e180f
Autor:
Ewa Schmeidel
Publikováno v:
Opuscula Mathematica, Vol 39, Iss 1, Pp 77-89 (2019)
In this paper, consensus of a leader-following problem is investigated. The leader-following problem describes a dynamics of the leader and a number of agents. The trajectory of the leader is given. The dynamics of each agent depends on the leader tr
Externí odkaz:
https://doaj.org/article/3940850df4584cce94c8ac5068f6bccb
Publikováno v:
Symmetry, Vol 13, Iss 6, p 918 (2021)
We investigate the higher order nonlinear discrete Volterra equations. We study solutions with prescribed asymptotic behavior. For example, we establish sufficient conditions for the existence of asymptotically polynomial, asymptotically periodic or
Externí odkaz:
https://doaj.org/article/08bef4f02ae84da5be1b598cc294ec6e
Publikováno v:
Opuscula Mathematica, Vol 36, Iss 4, Pp 459-470 (2016)
New explicit stability results are obtained for the following scalar linear difference equation \[x(n+1)-x(n)=-a(n)x(n)+\sum_{k=1}^n A(n,k)x(k)+f(n)\] and for some nonlinear Volterra difference equations.
Externí odkaz:
https://doaj.org/article/521d185cea354d809e3ab0a3a8c629c2
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2015, Iss 80, Pp 1-17 (2015)
The $k$-dimensional system of neutral type nonlinear difference equations with delays in the following form \begin{equation*} \begin{cases} \Delta \Big(x_i(n)+p_i(n)\,x_i(n-\tau_i)\Big)=a_i(n)\,f_i(x_{i+1}(n-\sigma_i))+g_i(n),\\ \Delta \Big(x_k(n)+p_
Externí odkaz:
https://doaj.org/article/2b97db64c2f947dd93855123d2783872
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2014, Iss 72, Pp 1-12 (2015)
Using the techniques connected with the measure of noncompactness we investigate the neutral difference equation of the following form \[\Delta \left( r_{n}\left( \Delta \left( x_{n}+p_{n}x_{n-k}\right) \right) ^{\gamma }\right) +q_{n}x_{n}^{\alpha }
Externí odkaz:
https://doaj.org/article/805d5799259c43e8be57ea8e19c50a68
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2017 (2017)
An analysis of dynamics of demand-inventory model with stock-level-dependent demand formulated as a three-dimensional system of difference equations with four parameters is considered. By reducing the model to the planar system with five parameters,
Externí odkaz:
https://doaj.org/article/a34e0e93238441c9a2ecfdb6a2adff7f
Publikováno v:
Electronic Journal of Differential Equations, Vol 2014, Iss 99,, Pp 1-6 (2014)
We provide sufficient conditions for a mapping acting between two Banach spaces to be a diffeomorphism. Standart arguments allow us to obtain a local diffeomorphism. It is proved to be global using mountain pass geometry.
Externí odkaz:
https://doaj.org/article/e02be824a85443b99c243ffa309e28ba