Integrable solutions for quadratic Hammerstein and quadratic Urysohn functional integral equations

A.M.A El-Sayed; H.H.G Hashem

Commentationes Mathematicae (2008)

  • Volume: 48, Issue: 2
  • ISSN: 2080-1211

Abstract

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The existence of positive monotonic solutions, in the class of continuous functions, for some nonlinear quadratic integral equation have been studied in [3], [6], [7] and [9]. Here We are concerning with the existence of L 1 positive monotonic solutions for the quadratic Hammerstein and quadratic Urysohn functional integral equations.

How to cite

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A.M.A El-Sayed, and H.H.G Hashem. "Integrable solutions for quadratic Hammerstein and quadratic Urysohn functional integral equations." Commentationes Mathematicae 48.2 (2008): null. <http://eudml.org/doc/291447>.

@article{A2008,
abstract = {The existence of positive monotonic solutions, in the class of continuous functions, for some nonlinear quadratic integral equation have been studied in [3], [6], [7] and [9]. Here We are concerning with the existence of $L _1$ positive monotonic solutions for the quadratic Hammerstein and quadratic Urysohn functional integral equations.},
author = {A.M.A El-Sayed, H.H.G Hashem},
journal = {Commentationes Mathematicae},
keywords = {Quadratic Hammerstein and Urysohn functional integral equations; Positive monotonic solutions; Measure of noncompactness},
language = {eng},
number = {2},
pages = {null},
title = {Integrable solutions for quadratic Hammerstein and quadratic Urysohn functional integral equations},
url = {http://eudml.org/doc/291447},
volume = {48},
year = {2008},
}

TY - JOUR
AU - A.M.A El-Sayed
AU - H.H.G Hashem
TI - Integrable solutions for quadratic Hammerstein and quadratic Urysohn functional integral equations
JO - Commentationes Mathematicae
PY - 2008
VL - 48
IS - 2
SP - null
AB - The existence of positive monotonic solutions, in the class of continuous functions, for some nonlinear quadratic integral equation have been studied in [3], [6], [7] and [9]. Here We are concerning with the existence of $L _1$ positive monotonic solutions for the quadratic Hammerstein and quadratic Urysohn functional integral equations.
LA - eng
KW - Quadratic Hammerstein and Urysohn functional integral equations; Positive monotonic solutions; Measure of noncompactness
UR - http://eudml.org/doc/291447
ER -

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