The positivity of the differential operator generated by hyperbolic system of equations

Abstract

In the present paper, the initial value problem for the hyperbolic system of equations with nonlocal boundary conditions is investigated. The positivity of the space operator generated by the given problem in interpolation spaces is established. The structure of interpolation spaces of this differential operator is studied. The positivity of this space operator in Slobodeckij-Sobolev spaces is established.

Keywords

• hyperbolic system of equations
• nonlocal boundary value problems
• interpolation spaces
• positivity of the differential operator