Sentence examples for defect index from inspiring English sources

Lemma 4.3 Let d ˜ be the defect index of H ˜ 0.

Many other results on the defect index d of Equation (1.6) with real coefficients were summarized in [5].

for any λ ∈ C ∖ R. The value range of defect index d L is one or two.

The study of second-order difference expressions L began with Atkinson's work [9] and the properties of its defect index have been sufficiently discussed.

Some results about the defect index of the matrix case (mathbf{H}_{X,A,Q}) when Q is missing are obtained in [7].

Recently, it has been shown that all values of the defect index from 2 and 4 can be realized and some criteria for the limit-point case were given in [14].

In the present article, we study the positive and negative defect indices of Equation (1.1).

The defect indices of Equation (1.6) has been studied for a long time.

Kogan and Rofe-Beketov discussed the positive and negative defect indices of Equation (1.6), and showed that the positive and negative defect indices may differ an integer [7, 8].

First, let d, d a, and d b be the defect indices of H 0 , H a, 0 , and H b, 0 , respectively.

By d±, d ± ′ and d ± ″ denote the positive and negative defect indices of Equations (3.2), (3.3), and (3.4), respectively.