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 …

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 …

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 …

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 …

In this paper, based on almost periodic time scales, we propose the concept of double
almost periodicity of neural networks and analyze almost periodic hybrid dynamics for a new …

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 …

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 …

Stefan Hilger introduced the concept of time scales in 1988 which can be applied to unify the
study of differential equations for continuous case and difference equations for discrete case …

In this paper we use the notion of the resolvent equation and Lyapunov's method to study
boundedness and integrability of the solutions of the nonlinear Volterra integral equation on …

This paper is concerned with the uniform exponential stability of ordinary and delay dynamic
equations. After revealing the equivalence between various types of uniform exponential …