Sentence examples for defect indices from inspiring English sources

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].

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

This means that Equation (1.1) has the same positive and negative defect indices as those of Equation (2.10).

There are seldom results on the positive and negative defect indices of symmetric difference equation with complex coefficients.

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

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

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

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].