Results 61 to 70 of about 684 (97)
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 +8 more
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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
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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 +4 more
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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 +2 more
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General solutions of weakly delayed discrete systems in 3D
Advances in Nonlinear AnalysisDiscrete 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 +3 more
doaj +1 more source
, 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 +3 more
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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. +1 more
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Nonoscillation of First-Order Neutral Impulsive Difference Equations
, 2019 In this work, we establish sufficient conditions for the existence of nonoscillatory solutions of a class of first-order neutral impulsive difference equations with fixed moments of impulsive effect.
G. Chhatria
semanticscholar +1 more source
The Second Euler-Lagrange Equation of Variational Calculus on Time Scales
, 2010 The fundamental problem of the calculus of variations on time scales concerns the minimization of a delta-integral over all trajectories satisfying given boundary conditions. In this paper we prove the second Euler-Lagrange necessary optimality condition
Agarwal +40 more
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