Results 41 to 50 of about 546 (81)

Existence and uniqueness of positive solution for nonlinear difference equations involving p(k)-Laplacian operator

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we deal with the existence of at least one and of at least two positive solutions as well the uniqueness of a positive solution for an anisotropic discrete non-linear problem involving p(k)-Laplacian with Dirichlet boundary value ...
Moghadam Mohsen Khaleghi   +1 more
doaj   +1 more source

Oscillation and nonoscillation in nonlinear third order difference equations

open access: yes, 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

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

open access: yes, 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

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

open access: yes, 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  

Discrete double-porosity models for spin systems

open access: yes, 2015
We consider spin systems between a finite number $N$ of "species" or "phases" partitioning a cubic lattice $\mathbb{Z}^d$. We suppose that interactions between points of the same phase are coercive, while between point of different phases (or, possibly ...
Andrea, Braides   +2 more
core   +1 more source

Metric duality between positive definite kernels and boundary processes

open access: yes, 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

General solutions of weakly delayed discrete systems in 3D

open access: yesAdvances 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   +3 more
doaj   +1 more source

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

open access: yes, 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

On discrete inequalities for some classes of sequences

open access: yesOpen 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

Discrete Dirac system: rectangular Weyl functions, direct and inverse problems

open access: yes, 2012
A transfer matrix function representation of the fundamental solution of the general-type discrete Dirac system, corresponding to rectangular Schur coefficients and Weyl functions, is obtained.
Fritzsche, B.   +3 more
core   +1 more source

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