  The boundary problem about behavior (oscillations) of the electronic plasmas
with arbitrary degree of degeneration of electronic gas in half-space with
specular boundary conditions is analytically solved. The kinetic equation of
Vlasov--Boltzmann with integral of collisions of type BGK (Bhatnagar, Gross,
Krook) and Maxwell equation for electric field are applied. Distribution
function for electrons and electric field in plasma in the form of expansion
under eigen solutions of the initial system of equations are received.
Coefficients of these expansions are found by means of the boundary conditions.
