Classification of non-self-adjoint singular Sturm-Liouville difference equations

DOI10.1016/j.amc.2011.02.107zbMath1228.39006OpenAlexW2091067078MaRDI QIDQ548368

Haibin Jing, Huaqing Sun, Jian Gang Qi

Publication date: 28 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.02.107

zbMATH Keywords

classification schemeSturm-Liouville difference equationlimit pointlimit circleHamiltonian difference systemsquare summable solition

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Discrete version of topics in analysis (39A12) Growth, boundedness, comparison of solutions to difference equations (39A22) Linear difference equations (39A06)

Related Items (7)

\(J\)-self-adjoint extensions for second-order linear difference equations with complex coefficients ⋮ The bounds of eigenvalue for complex singular boundary value problems ⋮ Estimates on the eigenvalues of complex nonlocal Sturm-Liouville problems ⋮ The theory for \(J\)-Hermitian subspaces in a product space ⋮ Criteria of the three cases for non-self-adjoint singular Sturm-Liouville difference equations ⋮ Difference equations and nonexistence of solutions of an integral equation ⋮ Classification and criteria of limit cases for singular second-order linear equations with complex coefficients on time scales

Cites Work

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• Titchmarsh–Sims–Weyl Theory for Complex Hamiltonian Systems
• Strong limit-point classification of singular Hamiltonian expressions
• Growth estimates for solutions of nonlinear second-order difference equations
• Spectral inclusion and spectral exactness for singular non-self-adjoint Hamiltonian systems
• Asymptotic behaviour of second-order difference equations
• Non-self-adjoint difference operators and their spectrum

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