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The defect index of singular symmetric linear difference equations with real coefficients
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Journal Article
The defect index of singular symmetric linear difference equations with real coefficients
2010
Overview
This paper is concerned with the defect index of singular symmetric linear difference equations of order 2n2n with real coefficients and one singular endpoint. We show that their defect index dd satisfies the inequalities n≤d≤2nn\\leq d \\leq 2n and that all values of dd in this range are realized. This parallels the well known result of Glazman for differential equations established about 1950. In addition, several criteria of the limit point and strong limit point cases are established.
Publisher
American Mathematical Society
Subject
/ Difference and functional equations, recurrence relations
/ Exact sciences and technology
/ Finite differences and functional equations
/ General, history and biography
/ Integers
/ Numerical analysis. Scientific computation
/ Ordinary differential equations
