To illustrate the notion of u ∞ -similarity, we will give an example for scalar functions defined on time scales.
A formula q is said to be T-valid if and only if T t,q) = 1 for any t in any branching time structure (TIME,≤,C), any valuation function TRUE, and any TRL-function defined on TIME.
This is one of the main reasons mathematicians have introduced some suitable time scales such as periodic time scales and almost periodic time scales, and so on, before even they give the proper concepts of functions defined on time scales.
This result not only provides us with a new approach to investigate problems by the known methods on periodic time scales, but also opens up new avenues to study local properties of the functions defined on time scales.
In this paper, by using the concept of gH-differentiability and the Kulisch-Miranker order on intervals, we investigate some Gronwall type inequalities for interval-valued functions defined on time scales, which provide explicit bounds on unknown functions.
However, they did not consider to directly use the Δ-calculus theory on time scales to solve the almost periodic problems of differential equations on time scales since many time scales are not completely closed under translations, which will lead to the functions defined by translations being not well defined on time scales.
We propose that EFS is a better parameter definition for daily clinical practice and is almost equivalent to PFS for clinical trials, since the various centers do not have the image evaluation defined on time as in clinical trials.
The current paper is devoted to studying the stochastic Boissonade system defined on time-varying domains.
The stochastic dynamical systems defined on time-varying domains are more attractive.
In this section, we introduce the partial-random dynamical system generated by a SPDE defined on time-varying domains developed by Crauel et al. in [4], and prove the existence of the non-autonomous attractor for partial-random dynamical system.
