An application of Darbo's fixed point theorem in the investigation of periodicity of solutions of difference equations

DOI10.1016/j.camwa.2011.12.025zbMath1268.39012OpenAlexW1985522043MaRDI QIDQ356133

Ewa Schmeidel, Zenon Zbąszyniak

Publication date: 25 July 2013

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.12.025

zbMATH Keywords

measures of noncompactnessdifference equationLiouville equationasymptotically periodic solutiondarbo's fix point theoremSturm

Mathematics Subject Classification ID

Periodic solutions of difference equations (39A23)

Related Items

Unnamed Item ⋮ On the convergence of solutions to second-order neutral difference equations ⋮ An application of measures of noncompactness in the investigation of boundedness of solutions of second-order neutral difference equations ⋮ Dynamic local and nonlocal initial value problems in Banach spaces ⋮ Asymptotic properties of solutions to discrete Volterra type equations ⋮ Asymptotically zero solution of a class of higher nonlinear neutral difference equations with quasidifferences ⋮ Optimum solutions for a system of differential equations via measure of noncompactness ⋮ Asymptotically periodic solutions of second order difference equations ⋮ Bounded solutions and asymptotic stability of nonlinear second-order neutral difference equations with quasi-differences ⋮ Properties of solutions of generalized Sturm-Liouville discrete equations ⋮ On the well posed solutions for nonlinear second order neutral difference equations ⋮ Nonoscillatory solutions to second-order neutral difference equations ⋮ Existence of bounded solution of Volterra difference equations via Darbo's fixed-point theorem

Cites Work

• The periodic solutions of the second order nonlinear difference equation
• Nonoscillation criteria for half-linear second-order difference equations
• An application of a measure of noncompactness in the study of asymptotic stability
• ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF THE SECOND ORDER DIFFERENCE EQUATIONS
• Asymptotic behavior of solutions of second order nonlinear difference equations
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