Zobrazeno 1 - 10
of 111
pro vyhledávání: '"Baoguo, Jia"'
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:
Filomat, 2017 Jan 01. 31(6), 1741-1753.
Externí odkaz:
https://www.jstor.org/stable/24902266
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:
Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-11 (2016)
Abstract In this paper, we obtain an extended Halanay inequality with unbounded coefficient functions on time scales, which extends an earlier result in Wen et al. (J. Math. Anal. Appl. 347:169-178, 2008). Two illustrative examples are also given.
Externí odkaz:
https://doaj.org/article/b2e06563b6ef4976a5769fd9605ed573
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
Autor:
Feifei Du, Baoguo Jia
Publikováno v:
Mathematical Methods in the Applied Sciences. 44:10513-10529
In this paper, a generalized fractional $(q,h)$-Gronwall inequality is investigated. Based on this inequality, we derive the uniqueness theorem and the finite-time stability criterion of nonlinear fractional delay $(q,h)$-difference systems. Several
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c2ac5a96132ec1143cd9f23e7443b4c
https://doi.org/10.1002/mma.7426
https://doi.org/10.1002/mma.7426
Publikováno v:
In Applied Mathematics and Computation 15 June 2013 219(20):10333-10342