Results 21 to 30 of about 40,024 (68)
On the existence and uniqueness of solution to Volterra equation on a time scale
Using a global inversion theorem we investigate properties of the following ...
Kluczyński Bartłomiej
doaj +1 more source
αβ−STATISTICAL CONVERGENCE ON TIME SCALES [PDF]
In this paper, we introduce the concepts of $\alpha\beta-$statistical convergence and strong $\alpha \beta-$Ces\`{a}ro summability of delta measurable functions on anarbitrary time scale.
Altundağ, Selma, Sözbir, Bayram
core +1 more source
Generalized weighted Ostrowski and Ostrowski-Gruss type inequalities on time scales via a parameter function [PDF]
We prove generalized weighted Ostrowski and Ostrowski–Gr ¨uss type inequalities on time scales via a parameter function. In particular, our result extends a result of Dragomir and Barnett.
Kermausuor, Seth +2 more
core +2 more sources
Rofe-Beketov formula for symplectic systems
We establish the Rofe-Beketov formula for symplectic systems on time scales. This result generalizes the well-known d’Alembert formula (or the Reduction of Order Theorem) and the Rofe-Beketov formula published for the second order Sturm-Liouville ...
P. Zemánek
semanticscholar +2 more sources
A unified approach to the calculus of variations on time scales
In this work we propose a new and more general approach to the calculus of variations on time scales that allows to obtain, as particular cases, both delta and nabla results. More precisely, we pose the problem of minimizing or maximizing the composition
Girejko, Ewa +2 more
core +1 more source
We introduce new fractional operators of variable order on isolated time scales with Mittag-Leffler kernels. This allows a general formulation of a class of fractional variational problems involving variable-order difference operators.
A Atangana +48 more
core +1 more source
Progranulin plasma levels predict the presence of GRN mutations in asymptomatic subjects and do not correlate with brain atrophy: results from the GENFI study. [PDF]
We investigated whether progranulin plasma levels are predictors of the presence of progranulin gene (GRN) null mutations or of the development of symptoms in asymptomatic at risk members participating in the Genetic Frontotemporal Dementia Initiative ...
Arighi, Andrea +18 more
core +6 more sources
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
core +1 more source
The contingent epiderivative and the calculus of variations on time scales
The calculus of variations on time scales is considered. We propose a new approach to the subject that consists in applying a differentiation tool called the contingent epiderivative.
Girejko, Ewa +2 more
core +1 more source
Some integral inequalities on time scales
In this paper, some new integral inequalities on time scales are presented by using elementarily analytic methods in calculus of time scales.Comment: 8 ...
F. Qi +11 more
core +1 more source

