Asymptotic formulae for solutions of linear second-order difference equations

DOI10.1080/10236198.2015.1077815zbMath1338.39025OpenAlexW2318040069MaRDI QIDQ2804526

Pavel Řehák

Publication date: 29 April 2016

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2015.1077815

zbMATH Keywords

asymptotic behaviourlinear difference equationnonoscillatory solutionregularly varying sequence

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (13)

An asymptotic analysis of nonoscillatory solutions of \(q\)-difference equations via \(q\)-regular variation ⋮ Unnamed Item ⋮ Asymptotic representations of solutions of nonlinear two term difference equations ⋮ Asymptotic properties of solutions to discrete Sturm-Liouville monotone type equations ⋮ Regularly varying sequences and Emden–Fowler type second-order difference equations ⋮ Existence of positive strongly decaying solutions of second-order nonlinear q-difference equations ⋮ Asymptotic properties of solutions to second-order difference equations of Volterra type ⋮ A Note on Transformations of Independent Variable in Second Order Dynamic Equations ⋮ Asymptotic properties of solutions to difference equations of Sturm-Liouville type ⋮ Properties of critical and subcritical second order self-adjoint linear equations ⋮ Nonoscillatory solutions to second-order neutral difference equations ⋮ The Karamata integration theorem on time scales and its applications in dynamic and difference equations ⋮ Positive strongly decreasing solutions of Emden-Fowler type second-order difference equations with regularly varying coefficients

Cites Work

• Bounded and zero convergent solutions of second-order difference equations
• Classes of sequences of real numbers, games and selection properties
• Asymptotic behavior of solutions of a linear second-order difference equation
• Summation inequalities and half-linear difference equations
• Poincaré types solutions of systems of difference equations
• Regular variation and differential equations
• De Haan type increasing solutions of half-linear differential equations
• A unified theory of regularly varying sequences
• Solutions of half-linear differential equations in the classes Gamma and Pi.
• Positive solutions of the Emden–Fowler difference equation
• A generalization of Poincaré's theorem for recurrence systems
• On the Existence and the Asymptotic Behavior of Nonoscillatory Solutions of Second Order Quasilinear Difference Equations
• An asymptotic formula for solutions of linear second-order difference equations with regularly behaving coefficients
• Regularly varying sequences and second order difference equations
• The asymptotic analysis of generalized eigenvectors of some Jacobi operators. Jordan box case∗
• Self-adjoint differential equations and generalized Karamata functions
• Mather invariants in groups of piecewise-linear homeomorphisms
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• Unnamed Item

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