Cover Image

New developments of dynamic inequalities on time scales

UDC 517.98 We establish new results for $\diamond_\alpha$-inequalities on time scales and formulate some dynamic Hilbert-type inequalities on the $\diamond_\alpha$-calculus of time scales for functions $\diamond_\alpha$-differentiable with respect to one and two variables. We obtain discrete and co...

Full description

Saved in:

Bibliographic Details
Date:	2026
Main Authors:	Akin, Lütfi, Orhan, Hilal
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2026
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/9404
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Coefficient estimates in new subclasses of analytic and bi-univalent functions defined by the combinations of the $q$-derivative and the Sǎlǎgean derivative operator
by: Orhan, Halit, et al.
Published: (2026)

On phase transitions of the Potts model with three competing interactions on Cayley tree
by: Akin, H., et al.
Published: (2011)

On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities
by: B. B. Nasser, et al.
Published: (2015)

Integral inequalities and stability of an equilibrium state on a time scale
by: Luk’yanova, T. A., et al.
Published: (2010)

On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities
by: Ben Nasser, B., et al.
Published: (2015)

On oscillation of solutions of linear dynamical equations on the time scales
by: O. O. Baliunov
Published: (2015)

NEW INTERNATIONAL SCALE OF THE NEOGENE-QUATERNARY TIME (2010)
by: GOZHIK, P. F., et al.
Published: (2011)

Dynamics of nonquasineutral current filaments on different space - time scales
by: Gordeev, A.V., et al.
Published: (2005)

Weakly perturbed systems of linear integro-dynamic equations on time scales
by: I. A. Bondar, et al.
Published: (2021)

Control of Time Scale Dynamical Systems with an Application to Concurrency Control for Real-time Database Systems
by: Ramesh Babu, N., et al.
Published: (2010)

Univalence criteria and quasiconformal extension of a general integral operator
by: Deniz, E., et al.
Published: (2022)

Optimal control by some classes of dynamic equations on the infinite interval of the time scale
by: T. V. Kovalchuk, et al.
Published: (2019)

Note on the oscillation of second-order quasilinear neutral dynamic equations on time scales
by: Ch. Zhang, et al.
Published: (2018)

On the Behavior of Solutions of a Third-Order Nonlinear Dynamic Equation on Time Scales
by: M. T. Şenel
Published: (2013)

Linear Noether boundary-value problems for dynamical systems on a time scale
by: O. A. Boichuk, et al.
Published: (2014)

On the Behavior of Solutions of a Third-Order Nonlinear Dynamic Equation on Time Scales
by: Şenel, M. T., et al.
Published: (2013)

On the Behavior of Solutions of a Third-Order Nonlinear Dynamic Equation on Time Scales
by: Şenel, M.T.
Published: (2013)

Note on the oscillation of second-order quasilinear neutral dynamic equations on time scales
by: Chenghui Zhang, et al.
Published: (2018)

Univalence criteria and quasiconformal extensions
by: M. Çağlar, et al.
Published: (2016)

Linear Noether boundary-value problems for impulsive dynamic systems on a time scale
by: O. P. Strakh
Published: (2013)

Multiple time scales in the microscopic dynamics of simple and complex liquids as studied by radiation scattering
by: Bermejo, F.J., et al.
Published: (2008)

Oscillation criteria for second-order quasilinear neutral functional dynamic equation on time scales
by: Saker, S.H.
Published: (2010)

Impulsive Dirac system on time scales
by: B. P. Allahverdiev, et al.
Published: (2023)

Impulsive Dirac system on time scales
by: Allahverdiev, Bilender P., et al.
Published: (2023)

Large-scale involvement in higher education and educational inequality in Ukraine
by: S. Oksamytna, et al.
Published: (2014)

Quaternion-valued dynamic equations and Henstock – Kurzweil delta-integrals on time scales: a survey
by: G. Qin, et al.
Published: (2023)

On the $F$-Bernstein polynomials
by: Erdem, Alper, et al.
Published: (2024)

Univalence criteria and quasiconformal extension of a general integral operator
by: E. Deniz, et al.
Published: (2022)

Time scale version of the Wazewski retract method
by: S. Ruszkowski
Published: (2013)

About the geologic time and general Precambrian scales
by: I. L. Zhulanova
Published: (2016)

Averaging of an optimal control problem on time scales
by: A. P. Ogulenko, et al.
Published: (2014)

Fredholm boundary-value problems for integro-dynamic systems with a degenerate kernel on a time scale
by: O. A. Boichuk, et al.
Published: (2014)

Classification and existence of non-oscillatory solutions of second-order neutral delay dynamic equations on time scales
by: Yong Zhou, et al.
Published: (2013)

Systems of differential inequalities with initial time difference
by: Jankowski, T.
Published: (2004)

Systems of Differential Inequalities with Initial Time Difference
by: Jankowski, T., et al.
Published: (2004)

Quantum Universe on Extremely Small Space-time Scales
by: Kuzmichev, V.E., et al.
Published: (2010)

Positive solutions of a three-point boundary-value problem for p-Laplacian dynamic equation on time scales
by: A. Dogan
Published: (2020)

Classes of Analytic Functions Defined by a Differential Operator Related to Conic Domains
by: Deniz, E., et al.
Published: (2015)

Positive solutions of a three-point boundary-value problem for $\mathcal {p}$-Laplacian dynamic equation on time scales
by: Dogan, A., et al.
Published: (2020)

Dissipative Dirac operator with general boundary conditions on time scales
by: B. P. Allahverdiev, et al.
Published: (2020)