V. A. Terletsky, O. V. Bochkova, “To substantiate correctness of optimal control problem of wave equation with controllable differentiation operator”, Bulletin of Irkutsk State University. Series Mathematics, 2012, Volume 5, Issue 2,Pages <nobr>61

To substantiate correctness of optimal control problem of wave equation with controllable differentiation operator

V. A. Terletsky, O. V. Bochkova

Irkutsk State University, 1, K. Marks St., Irkutsk, 664003

Abstract: We consider ways to construct generalized solutions of wave equation with discontinuous coefficient with respect to spacial variable of differentiation operator.

Keywords: wave equation, hyperbolic systems, method of characteristics, method of successive approximations.

UDC: 517.956.3