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

TitleON SOLUTIONS OF A QUADRATIC HAMMERSTEIN INTEGRAL EQUATION ON AN UNBOUNDED INTERVAL
Publication TypeJournal Article
Year of Publication2009
AuthorsBANAS JÓZEF, O’REGAN DONAL, SADARANGANI KISHIN
JournalDynamic Systems and Applications
Volume18
Start Page251
Pagination14
Date Published2009
ISSN1056-2176
AMS Subject Classification45G10, 47H09
Abstract

In this paper we examine the solvability of a nonlinear quadratic Hammerstein integral equation. This equation is considered in the Banach space of real functions which are defined, bounded and continuous on the real half-line. Using the idea of measures of noncompactness with the classical Schauder fixed point theorem we show that the equation has solutions which vanish at infinity.
PDFhttps://acadsol.eu/dsa/articles/18/20-DSA-28-09.pdf
Refereed DesignationRefereed