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Stability and Convergence of Solutions to Volterra Integral Equations on Time Scales

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  • Eleonora Messina
  • Antonia Vecchio

Abstract

We consider Volterra integral equations on time scales and present our study about the long time behavior of their solutions. We provide sufficient conditions for the stability and investigate the convergence properties when the kernel of the equations vanishes at infinity.

Suggested Citation

  • Eleonora Messina & Antonia Vecchio, 2015. "Stability and Convergence of Solutions to Volterra Integral Equations on Time Scales," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-6, June.
    • Handle: RePEc:hin:jnddns:612156
    DOI: 10.1155/2015/612156
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    Cited by:

    1. Eleonora Messina & Youssef N. Raffoul & Antonia Vecchio, 2020. "Analysis of Perturbed Volterra Integral Equations on Time Scales," Mathematics, MDPI, vol. 8(7), pages 1-12, July.

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