For the equation 􀀀 (t)|y0(t)|p−2y0(t) 0 + v(t)|y(t)|p−2y(t) = 0, t 2 (a, b) where 1 < p < 1, we establish the properties of oscillation and nonoscillation.

We denote by ( ), > 0, the Lorentz space equipped with the (quasi) norm kfk ( ) := Z 1 0 f (t)t 1 t dt t !1 for a function f on [0,1] and with positive and equipped with some additional growth ...

It is known that eigenfunctions of many elliptic operators such as Schr¨odinger operators decrease exponentially. It this paper we suggest a different idea of the proof of this fact. This idea is based on a special ...

Mathematical models of thermocontrol processes are considered. In the model under consideration, the temperature inside a domain is controlled by m convectors acting on the boundary. The control parameter is a vector-function, ...

Let i and o be two bounded open subsets of Rn containing 0. Let Gi be a (nonlinear) map from @ i × Rn to Rn. Let ao be a map from @ o to the set Mn(R) of n × n matrices with real entries. Let g be a function from ...