Discrete Dynamics in Nature and Society (Jan 2015)

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

  • Eleonora Messina,
  • Antonia Vecchio

DOI
https://doi.org/10.1155/2015/612156
Journal volume & issue
Vol. 2015

Abstract

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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.