Results 41 to 50 of about 530 (65)
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
Generalized Euler-Lagrange equations for variational problems with scale derivatives
, 2010 We obtain several Euler-Lagrange equations for variational functionals defined on a set of H\"older curves. The cases when the Lagrangian contains multiple scale derivatives, depends on a parameter, or contains higher-order scale derivatives are ...
Delfim F. M. Torres +8 more
core +1 more source
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
core +1 more source
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
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 +4 more
core
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
core +1 more source
On discrete inequalities for some classes of sequences
Open MathematicsFor 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
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
core +1 more source
An analysis of exponential kernel fractional difference operator for delta positivity
Nonlinear EngineeringPositivity analysis for a fractional difference operator including an exponential formula in its kernel has been examined. A composition of two fractional difference operators of order (ν,μ)\left(\nu ,\mu ) in the sense of Liouville–Caputo type operators
Mohammed Pshtiwan Othman
doaj +1 more source