An application of Krasnoselskii fixed point theorem to the asymptotic behavior of solutions to difference equations in Banach spaces

DOI10.1006/jmaa.2000.6877zbMath0962.39007OpenAlexW2047056613MaRDI QIDQ1576983

Antonio Jiménez-Melado, Cristóbal González

Publication date: 14 June 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6877

zbMATH Keywords

Banach spacecompact operatordifference equationKrasnoselskii fixed point theoremsecond order difference equation

Mathematics Subject Classification ID

Related Items (4)

The freezing method for abstract nonlinear difference equations ⋮ Nonlinear discrete fractional mixed type sum-difference equation boundary value problems in Banach spaces ⋮ Delay difference equations in infinite-dimensional spaces ⋮ Set-contractive mappings and difference equations in Banach spaces

Cites Work

• On the existence of positive solutions of higher order difference equations
• On the asymptotic behavior of solutions of linear difference equations
• On the asymptotic behaviour of nonhomogeneous linear difference equations
• Asymptotic Behavior of the Solutions of the Second Order Difference Equation
• ON THE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF DIFFERENCE EQUATIONS
• Asymptotic behavior of solutions of difference equations in Banach spaces
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