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Stability for Linear Volterra Difference Equations in Banach Spaces

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  • Rigoberto Medina

Abstract

This paper is devoted to studying the existence and stability of implicit Volterra difference equations in Banach spaces. The proofs of our results are carried out by using an appropriate extension of the freezing method to Volterra difference equations in Banach spaces. Besides, sharp explicit stability conditions are derived.

Suggested Citation

  • Rigoberto Medina, 2018. "Stability for Linear Volterra Difference Equations in Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2018(1).
    • Handle: RePEc:wly:jnlaaa:v:2018:y:2018:i:1:n:3905632
    DOI: 10.1155/2018/3905632
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    References listed on IDEAS

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    1. Rigoberto Medina, 2016. "Existence and Boundedness of Solutions for Nonlinear Volterra Difference Equations in Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2016(1).
    2. Rigoberto Medina, 2016. "Existence and Boundedness of Solutions for Nonlinear Volterra Difference Equations in Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2016, pages 1-6, November.
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    Cited by:

    1. Abdollah Dinmohammadi, 2022. "Orthogonally Fixed Points and (m, m)‐Hom‐Derivation Equations," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).

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