Nonoscillation theorems for second-order linear difference equations via the Riccati-type transformation

DOI10.1090/proc/13338zbMath1358.39006OpenAlexW2566052066MaRDI QIDQ2964037

Jitsuro Sugie, Masahiko Tanaka

Publication date: 22 February 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13338

zbMATH Keywords

linear difference equationsnonoscillationRiccati transformationSturm's separation theorem

Mathematics Subject Classification ID

Linear difference equations (39A06) Oscillation theory for difference equations (39A21)

Related Items (8)

Non-oscillation of modified Euler type linear and half-linear differential equations ⋮ Non-oscillation criterion for Euler type half-linear difference equations with consequences in linear case ⋮ Modification of adapted Riccati equation and oscillation of linear and half-linear difference equations ⋮ Oscillation of linear and half-linear difference equations via modified Riccati transformation ⋮ Riccati transformation and nonoscillation criterion for linear difference equations ⋮ Oscillatory behavior of solutions of certain fractional difference equations ⋮ Nonoscillation theorems for second-order linear difference equations via the Riccati-type transformation. II ⋮ Riccati technique and oscillation of linear second-order difference equations

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