Processing may take a few seconds...

Article


Title

The solvability of functional quadratic Volterra-Urysohn integral equations on the half line

Authors

Year of publication

2018

Published in

Fasciculi Mathematici

Journal year: 2018 | Journal number: nr 61

Article type

scientific article

Publication language

english

Keywords
EN
  • quadratic integral equations
  • integro-differential equations
  • Schauder fixed point theorem
  • superposition operator
Abstract

EN We study the solvability of general quadratic Volterra integral equations in the space of Lebesgue integrable functions on the half line. Using the conjunction of the technique of measures of weak noncompactness with modified Schauder fixed point principle we show that the integral equation, under certain conditions, has at least one solution. Moreover, that result generalizes several ones obtained earlier in many research papers and monographs.

Pages (from - to)

109 - 123

DOI

10.1515/fascmath-2018-0021

License type

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

Full text of article

Download file

Access level to full text

public

Points of MNiSW / journal

10.0

Points of MNiSW / journal in years 2017-2021

10.0

This website uses cookies to remember the authenticated session of the user. For more information, read about Cookies and Privacy Policy.