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Article

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Title

Integral equation arising in the theory of partial differential equations

Authors

Year of publication

2010

Published in

Fasciculi Mathematici

Journal year: 2010 | Journal number: nr 43

Article type

scientific article

Publication language

english

Keywords
EN
  • integral equation
  • partial differential equations
  • Banach fixed point theorem
  • integral inequality
  • explicit estimate
  • existence and uniqueness
  • Bielecki type norm
  • discrete analogues
Abstract

EN The aim of the present paper is to study some basic qualitative properties of solutions of a certain integral equation arising in the theory of partial differential equations. The well known Banach fixed point theorem and the new integral inequality with explicit estimate obtained in the present paper are used to establish the results.

Pages (from - to)

115 - 126

License type

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

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