We consider the problem of observation and control of a system of transmission waves. The system is governed by a three-dimensional (respectively two-dimensional) D’ Alembert wave equation in a bounded domain which comprises corners but which is not fissured. On the boundary we have inside an artificial dynamic Wentzell boundary condition coupled with the internal equation by the normal derivat...

The paper treats the evaluation of the accelerations in rigid multibody systems which are subjected to displacement dependent setvalued force interactions. The interaction laws are represented by nonsmooth displacement potentials and derived through generalized differentiation. The resulting multifunctions contain the cases of smooth force characteristics, bilateral constraints, as well as comb...

in this paper. (1) we determine the complex-valued solutions of the following variant of van vleck's functional equation $$int_{s}f(sigma(y)xt)dmu(t)-int_{s}f(xyt)dmu(t) = 2f(x)f(y), ;x,yin s,$$ where $s$ is a semigroup, $sigma$ is an involutive morphism of $s$, and $mu$ is a complex measure that is linear combinations of dirac measures $(delta_{z_{i}})_{iin i}$, such that for all $iin i$,...

via solutions of the system of PDE (1). 2. Integration of the system (1): The list of principal results. Below we adduce assertions giving general solutions of the system of PDE (1) with arbitrary n ∈ N provided u(x) ∈ C(R,R), and with n = 4, 5, provided u(x) ∈ C(C,C). Theorem 1. Let u(x) be sufficiently smooth real function on n real variables x0, . . . , xn−1. Then the general solution of the...