Existence and asymptotic behaviour of solutions to first- and second-order difference equations with periodic forcing

DOI10.1080/10236198.2012.658049zbMath1260.39021OpenAlexW2142054980MaRDI QIDQ3165737

Hadi Khatibzadeh, Behzad Djafari Rouhani

Publication date: 19 October 2012

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

Full work available at URL: https://doi.org/10.1080/10236198.2012.658049

zbMATH Keywords

periodic solutionsmaximal monotone operatorasymptotic behaviourperiodic forcingdifference equationdiscrete analogue

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23)

Related Items

Continuous dependence on data for a second-order nonhomogeneous difference inclusion ⋮ Asymptotic behavior of a periodic sequence of nonexpansive mappings with applications ⋮ On Nonhomogeneous Second Order Difference Inclusions of Accretive Type in Banach Spaces ⋮ Existence and approximation of zeroes of monotone operators by solutions to nonhomogeneous difference inclusions ⋮ Unnamed Item ⋮ Zeros of accretive operators and asymptotics of a second order difference inclusion in Banach spaces ⋮ Asymptotically periodic solutions to some second-order evolution and difference equations

Cites Work

• Unnamed Item
• New results on the asymptotic behavior of solutions to a class of second order nonhomogeneous difference equations
• Homoclinic solutions of non-autonomous difference equations arising in hydrodynamics
• Asymptotic behaviour of almost nonexpansive sequences in a Hilbert space
• Asymptotic behaviour of quasi-autonomous dissipative systems in Hilbert spaces
• On the proximal point algorithm
• Asymptotic behavior of bounded solutions to a class of second order nonhomogeneous evolution equations
• A strong convergence theorem for solutions to a nonhomogeneous second order evolution equation
• An existence theorem for a difference inclusion in general Banach spaces
• Comportement a l'infini pour les equations d'evolution avec forcing periodique
• Produits infinis de resolvantes
• Une méthode itérative de résolution d'une inéquation variationnelle
• On a class of difference equations of monotone type.
• Asymptotic behavior of bounded solutions to a class of second order nonhomogeneous difference equations of monotone type
• Existence and Asymptotic Behavior for a Class of Second Order Difference Equations
• A note on the asymptotic behavior of solutions to a second order difference equation