On the equality condition in Hölder's and Minkowski inequalities.
Necessary and sufficient conditions for the existence of compactly supported -solutions for the two-dimensional two-scale dilation equations are given.
The neutral delay difference equations of second order with positive and negative coefficients , n = 0,1,2,... studied sufficient condition existence positive solution equation obtained
We consider a second order nonlinear difference equation The necessary conditions under which there exists a solution of equation (E) which can be written in the form Here and are two linearly independent solutions of equation A special case of equation (E) is also considered.
Exponential polynomials are the building bricks of spectral synthesis. In some cases it happens that exponential polynomials should be extended from subgroups to whole groups. To achieve this aim we prove an extension theorem for exponential polynomials which is based on a classical theorem on the extension of homomorphisms.