Using the differential geometry of curves and surfaces the Lakshmanan equivalent counterpart of the M-XXII equation is found. It is shown that these equations are too gauge eqivalent to each other. Also the gauge equivalence ...

In this paper we consider the problem of radiation from a vertical short (Hertzian) dipole above flat ground with losses, which represents the well – known in the literature ‘Sommerfeld radiation problem’. We end up with ...

Critical information infrastructure exists in di erent sectors of each country. Its loss or sustainability violation will lead to a negative impact on the supply of essential services, as well as on the social or economic ...

Let F and F -I be the direct and inverse Fourier transforms in R n . A function u is called a Fourier transform multiplicator from the Lorentz function space Lpr(R n) into the Lorentz space Lq~(R n) if the operator T,(f) ...

The real interpolation method, which stems from the basic Marcinkiewicz theorem, was introduced by Lions and Peetre [1, 2]. It is described by the functor

Some of the general principles involved in constructing mathematical models of biological resource dynamics are presented along with some of the requirements of such models for them to have value in terms of management ...

Let Lambda(q)(omega), q > 0, denote the Lorentz space equipped with the (quasi) norm parallel to f parallel to(Lambda q(omega)) := (integral(1)(0) (f*(t)omega(t))(q)dt/t)(1/q) for a function integral on [0,1] and ...