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Article

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Title

On integrated Volterra integrodifferential equation of higher order

Authors

Year of publication

2008

Published in

Fasciculi Mathematici

Journal year: 2008 | Journal number: nr 39

Article type

scientific article

Publication language

english

Keywords
EN
  • integrodifferential equation
  • higher order
  • Leray-Schauder alternative
  • integral inequality
  • initial-value problem
  • global existence
  • completely continuous operators
  • fixed point
  • r-derivatives
Abstract

EN In this paper we study the existence and other properties of solutions of a certain iterated Volterra integrodifferential equation of higher order. The tools employed in the analysis are based on application of the Leray-Schauder alternative and a certain integral inequality which provides explicit bound on the unknown function.

Pages (from - to)

47 - 61

License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

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