Results 41 to 50 of about 546 (81)
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
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
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]
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
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
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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General solutions of weakly delayed discrete systems in 3D
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
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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On discrete inequalities for some classes of sequences
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
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

