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 …

This article investigates both basic qualitative and basic quantitative properties of solutions
to first-and higher-order dynamic equations on time scales and thus provides a foundation …

During the last decades, many areas of modern applied mathematics, such as the automatic
control theory, the study of aircraft and spacecraft dynamics, and others, have been faced …

The aim of this paper is to show that dynamic equations on time scales can be treated in the
framework of generalized ordinary differential equations as introduced by J. Kurzweil. We …

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 …

In this manuscript, an analysis is carried out on the dynamic behavior of the ill-posed
Boussinesq equation, which arises in nonlinear lattices and shallow water waves. The …

The purpose of this paper is to present the fundamental concepts of the basic theory for
linear impulsive systems on time scales. First, we introduce the transition matrix for linear …

In this paper, we investigate many types of stability, like uniform stability, asymptotic stability,
uniform asymptotic stability, global stability, global asymptotic stability, exponential stability …

In this paper, we deal with some theorems on the exponential stability of trivial solution of
time-varying non-regressive dynamic equation on time scales with bounded graininess. In …

This book is devoted to qualitative theory of functional dynamic equations on time scales
and summarizes the most recent contributions in this area. The book is intended for senior …