We discuss in this paper three notions of chaos which are commonly used in the mathematical literature, namely those being introduced by Li & Yorke, Block & Coppel and Devaney, respectively. We in… (More)

There are many ways to divide mathematics into two-culture dichotomies. An important one is the Discrete vs. the Continuous. Until almost the end of the 20th century, the continuous culture was… (More)

OBJECTIVE
We conducted a single-centre, randomised, double-blinded, placebo-controlled phase II clinical study to test safety and efficacy of a 12-week therapy with low-dose (700 mg/daily) or… (More)

In various problems of control theory, non-autonomous and multivalued dynamical systems, wavelet theory and other fields of mathematics information about the rate of growth of matrix products with… (More)

We study evolution semigroups associated with nonautonomous functional differential equations. In fact, we convert a given functional differential equation to an abstract autonomous evolution… (More)

We study the existence of almost periodic mild solutions of a class of partial functional differential equations via semilinear almost periodic abstract functional differential equations of the form… (More)

For a Dirac particle in one dimension with random mass, the time evolution for the average wavefunction is considered. Using the supersymmetric representation of the average Green’s function, we… (More)

Diierential equations which explicitly but discontinuously depend on time are rarely studied objects even though they promise important applications e.g. in control theory or in the theory of random… (More)

and rðtÞ :1⁄4 sup{t , t : t [ T}; for all t [ T, where inf Y: 1⁄4 sup T and sup Y: 1⁄4 inf T, where Y denotes the empty set. We assume throughout that T has the topology that it inherits from the… (More)

<lb>We extend the known results of the non-autonomous solutions of equation in the<lb>title to the situation where any of parameters are period two sequence with non-<lb>negative values and the… (More)