On solutions of a quadratic hammerstein integral equation on an unbounded interval

Józef Banaś; Donal O'Regan; Kishin Sadarangani

On solutions of a quadratic hammerstein integral equation on an unbounded interval

Józef Banaś
, Donal O'Regan
, Kishin Sadarangani

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

30 Citations (Scopus)

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.

Original language	English
Pages (from-to)	251-264
Number of pages	14
Journal	Dynamic Systems and Applications
Volume	18
Issue number	2
Publication status	Published - Jun 2009

Cite this

@article{a2aed1f6733f4bf08a8d01b35df05dcb,

title = "On solutions of a quadratic hammerstein integral equation on an unbounded interval",

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.",

author = "J{\'o}zef Bana{\'s} and Donal O'Regan and Kishin Sadarangani",

year = "2009",

month = jun,

language = "English",

volume = "18",

pages = "251--264",

journal = "Dynamic Systems and Applications",

issn = "1056-2176",

publisher = "Dynamic Publishers",

number = "2",

}

TY - JOUR

T1 - On solutions of a quadratic hammerstein integral equation on an unbounded interval

AU - Banaś, Józef

AU - O'Regan, Donal

AU - Sadarangani, Kishin

PY - 2009/6

Y1 - 2009/6

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/69549106079

M3 - Article

SN - 1056-2176

VL - 18

SP - 251

EP - 264

JO - Dynamic Systems and Applications

JF - Dynamic Systems and Applications

IS - 2

ER -

On solutions of a quadratic hammerstein integral equation on an unbounded interval

Abstract

Other files and links

Fingerprint

Cite this