[图书][B] Dynamic inequalities on time scales

R Agarwal, D O'Regan, S Saker - 2014 - Springer
Ravi Agarwal · Donal O'Regan Samir Saker Page 1 Ravi Agarwal · Donal O'Regan Samir
Saker Dynamic Inequalities On Time Scales Page 2 Dynamic Inequalities On Time Scales …

A new periodicity concept for time scales

M Adivar - Mathematica Slovaca, 2013 - degruyter.com
By means of the shift operators we introduce a new periodicity concept on time scales. This
new approach will enable researchers to investigate periodicity notion on a large class of …

[图书][B] Qualitative theory of Volterra difference equations

YN Raffoul - 2018 - books.google.com
This book provides a comprehensive and systematic approach to the study of the qualitative
theory of boundedness, periodicity, and stability of Volterra difference equations. The book …

Functional Volterra Stieltjes integral equations and applications

R Grau, C Lafetá, JG Mesquita - Journal of Differential Equations, 2024 - Elsevier
In this paper, we introduce a more general class of equations called functional Volterra
integral equations involving measures, which encompass many types of equations such as …

Shift operators and stability in delayed dynamic equations

M Adivar, YN Raffoul - arXiv preprint arXiv:1101.3475, 2011 - arxiv.org
In this paper, we use what we call the shift operator so that general delay dynamic equations
of the form\[x^{\Delta}(t)= a (t) x (t)+ b (t) x (\delta_ {-}(h, t))\delta_ {-}^{\Delta}%(h …

Volterra theory on time scales

B Karpuz - Results in Mathematics, 2014 - Springer
This paper is concerned with the existence and uniqueness of solutions to generalized
Volterra integral equations on time scales. Unlike previous papers published on this subject …

[图书][B] Stability, periodicity and boundedness in functional dynamical systems on time scales

M Adıvar, YN Raffoul - 2020 - Springer
The book provides an integrated approach to the study of the qualitative theory of dynamical
systems on time scales. It is aimed at postgraduate students and researchers with basic …

n0-order Δ-almost periodic functions and dynamic equations

C Wang, RP Agarwal, D O'Regan - Applicable Analysis, 2018 - Taylor & Francis
In this paper, using matched spaces for time scales, we introduce new types of almost
periodic functions, including-almost periodic functions and-order-almost periodic functions …

Halanay type inequalities on time scales with applications

M Adıvar, EA Bohner - Nonlinear Analysis: Theory, Methods & Applications, 2011 - Elsevier
This paper aims to introduce Halanay type inequalities on time scales. By means of these
inequalities we derive new global stability conditions for nonlinear dynamic equations on …

[PDF][PDF] Volterra integral equations on unbounded time scales

A Reinfelds, S Christian - Int. J. Difference Equ, 2019 - campus.mst.edu
This paper introduces a more general result on existence, uniqueness and boundedness for
solutions of nonlinear Volterra integral equation on time scales. We use Lipschitz type …