Limit-point and limit-circle criteria for singular second-order linear difference equations with complex coefficients

DOI10.1016/j.camwa.2006.08.024zbMath1137.39013OpenAlexW2049652561MaRDI QIDQ2426046

Huaqing Sun, Yuming Shi

Publication date: 17 April 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.08.024

zbMATH Keywords

second-order linear difference equationlimit-point caselimit-circle casecomplex coefficient

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Discrete version of topics in analysis (39A12) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items

Characterization of self-adjoint extensions for discrete symplectic systems ⋮ The positive and negative deficiency indices of formally self-adjoint difference equations ⋮ Strong limit point criteria for a class of singular discrete linear Hamiltonian systems ⋮ Classification and criteria of the limit cases for singular second-order linear equations on time scales ⋮ Weyl disks and square summable solutions for discrete symplectic systems with jointly varying endpoints ⋮ Friedrichs extensions of a class of discrete Hamiltonian systems with one singular endpoint ⋮ Defect indices of singular symmetric linear difference equations with complex coefficients ⋮ Criteria of the three cases for non-self-adjoint singular Sturm-Liouville difference equations ⋮ The defect index of singular symmetric linear difference equations with real coefficients ⋮ Weyl–Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameter ⋮ Weyl--Titchmarsh theory for a class of discrete linear Hamiltonian systems

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