A Generalization of Wiener's Lemma and its Application to Volterra Difference Equations on a Banach Space

DOI10.1080/10236190410001652748zbMath1068.39001OpenAlexW2141495470WikidataQ124852729 ScholiaQ124852729MaRDI QIDQ4658733

Yutaka Nagabuchi, Satoru Murakami, Furumochi, Tetsuo

Publication date: 18 March 2005

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

Full work available at URL: https://doi.org/10.1080/10236190410001652748

zbMATH Keywords

stabilitycommutative Banach algebraBanach spaceZ-transformWiener's lemmasolution operatorlinear Volterra difference equationspiecewise continuous delays

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items (5)

Structured stability radii and exponential stability tests for Volterra difference systems ⋮ On the boundedness of the solutions in nonlinear discrete Volterra difference equations ⋮ Uniform asymptotic stability and robust stability for positive linear Volterra difference equations in Banach lattices ⋮ Stability and robust stability of positive linear Volterra difference equations ⋮ On exponential stability of nonlinear Volterra difference equations in phase spaces

Cites Work

• Retarded differential equations with piecewise constant delays
• Extreme stability and almost periodicity in a discrete logistic equation
• Asymptotic stability versus exponential stability in linear volterra difference equations of convolution type

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