[KNIHA][B] Hardy type inequalities on time scales

RP Agarwal, D O'Regan, SH Saker - 2016 - Springer
Neither of us completely understood what the other was doing, but we realized that our joint
effort will give the theorem, and to be a little impudent and conceited, probabilistic number …

Ulam–Hyers stability of dynamic equations on time scales via Picard operators

S András, AR Mészáros - Applied Mathematics and Computation, 2013 - Elsevier
In this paper we study the Ulam–Hyers stability of some linear and nonlinear dynamic
equations and integral equations on time scales. We use both direct and operatorial …

Consensus analysis via impulsive control for nonlinear hybrid singular switched multi-agent systems with event-triggered mechanism

B Kumar, M Malik - International Journal of Systems Science, 2024 - Taylor & Francis
Our research is focused on achieving consensus for non-linear singular switched multi-
agent systems on arbitrary time scales. The hybrid control strategy that combines an …

[HTML][HTML] Almost automorphic solutions of dynamic equations on time scales

C Lizama, JG Mesquita - Journal of Functional Analysis, 2013 - Elsevier
In the present work, we introduce the concept of almost automorphic functions on time
scales and present the first results about their basic properties. Then, we study the …

Hyers‐Ulam‐Rassias stability of nonlinear integral equations through the Bielecki metric

LP Castro, AM Simões - Mathematical Methods in the Applied …, 2018 - Wiley Online Library
We analyse different kinds of stabilities for classes of nonlinear integral equations of
Fredholm and Volterra type. Sufficient conditions are obtained in order to guarantee Hyers …

[KNIHA][B] Theory of translation closedness for time scales

C Wang, RP Agarwal, D O'Regan, R Sakthivel - 2020 - Springer
The theory of time scales was initiated by S. Hilger in his PhD thesis [141] in 1988 in order to
unify continuous and discrete analysis. This new and exciting type of mathematics is more …

Different types of Hyers-Ulam-Rassias stabilities for a class of integro-differential equations

LP Castro, AM Simões - Filomat, 2017 - doiserbia.nb.rs
We study different kinds of stabilities for a class of very general nonlinear integro-differential
equations involving a function which depends on the solutions of the integro-differential …

[PDF][PDF] Volterra integral equations on time scales: basic qualitative and quantitative results with applications to initial value problems on unbounded domains

T Kulik, CC Tisdell - Int. J. Difference Equ, 2008 - campus.mst.edu
This article introduces the basic qualitative and basic quantitative theory of Volterra integral
equations on time scales and thus may be considered as a foundation for future advanced …

Granular fuzzy calculus on time scales and its applications to fuzzy dynamic equations

T Truong, M Bohner, E Girejko, AB Malinowska… - Information …, 2025 - Elsevier
This paper introduces the foundational theory of fuzzy calculus on time scales, utilizing
granular arithmetic operations between fuzzy intervals. These operations are developed …

Existence of resolvent for Volterra integral equations on time scales

M ADıVAR, YN Raffoul - Bulletin of the Australian Mathematical …, 2010 - cambridge.org
We introduce the concept of 'shift operators' in order to establish sufficient conditions for the
existence of the resolvent for the Volterra integral equation on time scales. The paper will …