Zobrazeno 1 - 10
of 107
pro vyhledávání: '"Lynn Erbe"'
Publikováno v:
Electronic Journal of Differential Equations, Vol 2020, Iss 04,, Pp 1-19 (2020)
This article studies a boundary value problem for a nonlinear Caputo nabla fractional difference equation. We obtain quadratic convergence results for this equation using the generalized quasi-linearization method. Further, we obtain the converge
Externí odkaz:
https://doaj.org/article/50ffafe36c3442428c28c4200a148333
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2017, Iss 51, Pp 1-16 (2017)
This paper is concerned with finding properties of solutions to initial value problems for nonlinear Caputo nabla fractional difference equations. We obtain existence and rapid convergence results for such equations by use of Schauder's fixed point t
Externí odkaz:
https://doaj.org/article/5fffe7e892374d04b83166b5757ae49c
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 71,, Pp 1-15 (2016)
This article concerns the oscillation of solutions to second-order half-linear dynamic equations with a variable delay. By using integral averaging techniques and generalized Riccati transformations, new oscillation criteria are obtained. Our resu
Externí odkaz:
https://doaj.org/article/35713131db464390a01a1fea95484809
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2015, Iss 89, Pp 1-18 (2015)
Consider the following $\nu$-th order nabla and delta fractional difference equations \begin{equation} \begin{aligned} \nabla^\nu_{\rho(a)}x(t)&=c(t)x(t),\quad \quad t\in\mathbb{N}_{a+1},\\ x(a)&>0. \end{aligned}\tag{$\ast$} \end{equation} and \begin
Externí odkaz:
https://doaj.org/article/fdd4b2e36e844540a977c4d4e183eca8
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2015, Iss 38, Pp 1-11 (2015)
In this paper, we obtain a Halanay-type inequality of integral type on time scales which improves and extends some earlier results for both the continuous and discrete cases. Several illustrative examples are also given.
Externí odkaz:
https://doaj.org/article/125f86c3b226412ba53af5c4a2dd7fe3
Publikováno v:
Electronic Journal of Differential Equations, Vol 2015, Iss 163,, Pp 1-7 (2015)
In this article, we are concerned with the relationships between the sign of Caputo fractional differences and integer nabla differences. In particular, we show that if $N-1
Externí odkaz:
https://doaj.org/article/4b26909097b84fc4ae29901775c0b06c
Publikováno v:
Electronic Journal of Differential Equations, Vol 2015, Iss 71,, Pp 1-12 (2015)
This article concerns the oscillation of second-order nonlinear dynamic equations. By using generalized Riccati transformations, Kiguradze-type and Belohorec-type oscillation theorems are obtained on an arbitrary time scale. Our results cover thos
Externí odkaz:
https://doaj.org/article/59f9ccf89d8846f6a0a973b1ac400087
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
We deal with the oscillation of a generalized Emden-Fowler dynamic equation in the form (rtZΔtα-1ZΔt)Δ+f(t,x(δ(t)))=0. We establish some new oscillation criteria for the equation, which improve some of the main results of (H. Liu and P. Liu, 201
Externí odkaz:
https://doaj.org/article/c50472e671aa4fea96cec7dd7feb7530
Publikováno v:
Journal of Difference Equations and Applications. 25:815-836
This paper gives a generalized h-fractional Gronwall's inequality. Applying this result, we prove the uniqueness and give bounds on solutions for a nonlinear h-fractional difference system ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a7090214bf309ba6d83cae311504e39d
https://doi.org/10.1080/10236198.2018.1551382
https://doi.org/10.1080/10236198.2018.1551382
Publikováno v:
Mathematical Inequalities & Applications. :1-23
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8fe6032a9c13b2bfb488f1d755a45876
https://doi.org/10.7153/mia-2019-22-01
https://doi.org/10.7153/mia-2019-22-01