TRANSFER OF BOUNDARY-CONDITIONS FOR DAES OF INDEX-1

In this paper, the concept of Abramov's method for transferring bounda ry conditions posed for regular ordinary differential equations (ODEs) is applied to index-1 differential algebraic equations (DAEs). Having discussed the reduction of inhomogeneous problems to homogeneous ones and analyzed the underlying ideas of Abramov's method, we consider bo undary value problems for index-1 linear DAEs both with constant and v arying leading matrices. We describe the relations defining the subspa ces of solutions satisfying the prescribed boundary conditions at one end of the interval. The index-1 DAEs which realize the transfer are g iven and their properties are studied. The results are reformulated fo r inhomogeneous index-1 DAEs as well.