ON SOLUTIONS OF A QUADRATIC URYSOHN INTEGRAL EQUATION ON AN UNBOUNDED INTERVAL

TitleON SOLUTIONS OF A QUADRATIC URYSOHN INTEGRAL EQUATION ON AN UNBOUNDED INTERVAL
Publication TypeJournal Article
Year of Publication2008
AuthorsBANAS JOZEF, OLSZOWY LESZEK
JournalDynamic Systems and Applications
Volume17
Start Page255
Pagination15
Date Published2008
ISSN1056-2176
AMS Subject Classification45G10, 47H30
Abstract

We investigate the existence of solutions of a quadratic Urysohn integral equation on unbounded interval. The method used in our considerations depends on suitable conjunction of the technique of measures of noncompactness with the classical Schauder fixed point principle. Such an approach permits us to obtain our existence results under rather general assumptions.
PDFhttps://acadsol.eu/dsa/articles/17/DSA-2007-255-270.pdf
Refereed DesignationRefereed