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 …

• When does a to tal ly nonlinear delay dynamic equation x∆(t)=-a (t) h (x (t))+ G (t, x (δ (t))),
t∈ T1,(3) have a non-zero periodic so lution which maps a periodic time s cale T1 into …

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 …

Without confines of the continuous-time domain, this paper addresses synchronization
control problem of neural networks in the face of multiple proportional delays on general …

In this paper, we study some new retarded Volterra-Fredholm type integral inequalities on
time scales, which provide explicit bounds on unknown functions. These inequalities …

In this paper, a nonlinear integro-dynamic equation on time scales with local initial condition
is considered. The purpose of this paper is to prove existence and uniqueness of solutions …

Let T be an arbitrary time scale that is unbounded above. By means of a variation of
Lyapunov's method and contraction mapping principle this paper handles asymptotic …

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 …

Introducing shift operators on time scales we construct the integro-dynamic equation
corresponding to the convolution type Volterra differential and difference equations in …

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 …