a Department of Mathematics, The Saratov National University, 77 Politekhnicheskaya St., 410054 Saratov, Russia b Department of Automatics and Biomechanics, Technical University of Lodz, 1/15 Stefanowski St., 90-924 Lodz, Poland
Abstract:
A first order differential-operator equation with an operator-coefficient generating a C0 class semi-group is studied. Boundary conditions for which this equation possesses a unique solution dependent continuously on its right-hand side are derived. Two theorems are formulated and proved.
