Results 61 to 70 of about 686 (98)

Oscillation and nonoscillation in nonlinear third order difference equations

, 1989
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 2, Page 281-286, 1990.
B. Smith, W. E. Taylor Jr.
wiley   +1 more source

A q-analogue of gl_3 hierarchy and q-Painleve VI

, 2006
A q-analogue of the gl_3 Drinfel'd-Sokolov hierarchy is proposed as a reduction of the q-KP hierarchy. Applying a similarity reduction and a q-Laplace transformation to the hierarchy, one can obtain the q-Painleve VI equation proposed by Jimbo and Sakai ...
Conte R Grundland A M Musette M, Hahn W, Kakei S Kikuchi T, Mazzocco M, Saburo Kakei, Tetsuya Kikuchi, Ueno K, Wu Z Y, Zhang C   +8 more
core   +1 more source

Nabla Time Scales Iyengar-Type Inequalities

Advances in Dynamical Systems and Applications, 2019
Here we present the necessary background on nabla time scales approach. Then we give general related time scales nabla Iyengar type inequalities for all basic norms. We finish with applications to specific time scales like R, Z and qZ, q > 1. AMS Subject
G. Anastassiou
semanticscholar   +1 more source

Metric duality between positive definite kernels and boundary processes

, 2017
We study representations of positive definite kernels $K$ in a general setting, but with view to applications to harmonic analysis, to metric geometry, and to realizations of certain stochastic processes.
Jorgensen, Palle, Tian, Feng
core   +1 more source

Noether's Theorem for Control Problems on Time Scales [PDF]

, 2014
We prove a generalization of Noether's theorem for optimal control problems defined on time scales. Particularly, our results can be used for discrete-time, quantum, and continuous-time optimal control problems.
A. B. Malinowska, Agnieszka B. Malinowska, M. R. Sidi Ammi, Moulay Rchid, Sidi Ammi   +4 more
core  

Inequalities and majorisations for the Riemann-Stieltjes integral on time scales

, 2010
We prove dynamic inequalities of majorisation type for functions on time scales. The results are obtained using the notion of Riemann-Stieltjes delta integral and give a generalization of [App. Math. Let. 22 (2009), no.
Mozyrska, Dorota, Pawluszewicz, Ewa, Torres, Delfim F. M.   +2 more
core   +1 more source

The existence of solutions to a class of boundary value problems with fractional difference equations

, 2013
In this paper, we study the existence and uniqueness of solutions for the boundary value problem of fractional difference equations {−Δνy(t)=f(t+ν−1,y(t+ν−1)),y(ν−3)=0,Δy(ν−3)=0,y(ν+b)=g(y) and {−Δνy(t)=λf(t ...
Yuan-Yuan Pan, Z. Han, Shurong Sun, Chuanxia Hou   +3 more
semanticscholar   +1 more source

General solutions of weakly delayed discrete systems in 3D

Advances in Nonlinear Analysis
Discrete systems x(k+1)=Ax(k)+Bx(k−m)x\left(k+1)=Ax\left(k)+Bx\left(k-m), k=0,1,…k=0,1,\ldots \hspace{0.33em} are analyzed, where mm is a fixed positive integer, AA, BB are constant 3 by 3 matrices and x:{−m,−m+1,…}→R3x:\left\{-m,-m+1,\ldots \right\}\to {
Diblík Josef, Boháčková Hana, Růžičková Miroslava, Šafařík Jan   +3 more
doaj   +1 more source

Backward variational approach on time scales with an action depending on the free endpoints

, 2011
We establish necessary optimality conditions for variational problems with an action depending on the free endpoints. New transversality conditions are also obtained.
Malinowska, Agnieszka B., Torres, Delfim F. M.   +1 more
core   +1 more source

On discrete inequalities for some classes of sequences

Open Mathematics
For a given sequence a=(a1,…,an)∈Rna=\left({a}_{1},\ldots ,{a}_{n})\in {{\mathbb{R}}}^{n}, our aim is to obtain an estimate of En≔a1+an2−1n∑i=1nai{E}_{n}:= \left|\hspace{-0.33em},\frac{{a}_{1}+{a}_{n}}{2}-\frac{1}{n}{\sum }_{i=1}^{n}{a}_{i},\hspace{-0 ...
Jleli Mohamed, Samet Bessem
doaj   +1 more source