THE HYPERBOLIC SYSTEM OF EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS

Year 2012, Volume: 2 Issue: 2, 154 - 178, 01.12.2012

Allaberen Ashyralyev Rahat Prenov

Abstract

The initial value problem for the hyperbolic system of equations with nonlocal boundary conditions is studied. The positivity of the space operator A generated by this problem in interpolation spaces is established. The structure interpolation spaces of this state operator is studied. The positivity of this space operator in H¨older spaces is established. In applications, the stability estimates for the hyperbolic system of equations with nonlocal boundary conditions are obtained.

Keywords

Hyperbolic system of equations, Nonlocal boundary value problems, Interpolation spaces, Positivity of the differential operator, Stability estimates

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