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Volterra integral equations on unbounded time scales

  • University of Latvia

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

This paper introduces a more general result on existence, uniqueness and boundedness for solutions of nonlinear Volterra integral equation on time scales. We use Lipschitz type function, which can be an unbounded, and the Banach fixed point theorem at appropriate functional space. Furthermore it allows to get new sufficient conditions for boundedness of solutions.

45D05,

Original languageEnglish
Pages (from-to)169-177
Number of pages9
JournalInternational Journal of Difference Equations
Volume14
Issue number2
DOIs
Publication statusPublished - 2019

Keywords

  • Bounded Solution
  • Volterra Integral Equation On Time Scales

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