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Two of the DAE systems are of index 1 and they can be solved by means of standard DAE-solvers.
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Throughout this paper, we assume that the matrices A n are singular, and the corresponding linear homogeneous equations A n x n + 1 + B n x n = 0, n ≥ 0, (2.2). are of index-1 [1 3], i.e., the following hypotheses hold.
The subgroup (K_0) is of index (2) in (B_0).
Thus Equation (27) is of index-2.
Suppose that (2.43) is of index-1.
(1) The homogeneous LIDE (2.4) is of index-1.
Here we assume Equation (1) is of index-1 which implies μ = 1 in Equation (2).
We now assume (1) is of index-2 which implies μ = 2 in Equation (2).
The homogeneous LIDE (2.4) is of index-1. is rd-continuous and satisfies the Lipschitz condition, (2.17).
Equation (2.43) is said to be of index-1 if the matrix (2.44). is invertible for every and.
Suppose that and the homogeneous equation (3.35) is of index-1 and the constant is sufficiently small.
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