Journal of Mathematics and Applications
06/42, DOI: 10.7862/rf.2019.6
Nonincreasing Solutions for Quadratic Integral Equations of Convolution Type
Wagdy G. El-Sayed, A.A.H. Abd El-Mowla
DOI: 10.7862/rf.2019.6
Abstract
We study a nonlinear quadratic integral equation of Convolution type in the Banach space of real functions defined and continuous on a bounded and closed interval. By using a suitable measure of noncompactness, we show that the integral equation has monotonic solutions.
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About this Article
TITLE:
Nonincreasing Solutions for Quadratic Integral Equations of Convolution Type
AUTHORS:
Wagdy G. El-Sayed (1)
A.A.H. Abd El-Mowla (2)
AUTHORS AFFILIATIONS:
(1) Alexandria University, EGYPT
(2) Omar Al-Mukhtar University, LIBYA
JOURNAL:
Journal of Mathematics and Applications
06/42
KEY WORDS AND PHRASES:
Quadratic integral equation; Measure of noncompactness; Fixed-point theorem; Monotonic solutions.
FULL TEXT:
http://doi.prz.edu.pl/pl/pdf/jma/83
DOI:
10.7862/rf.2019.6
URL:
http://dx.doi.org/10.7862/rf.2019.6
RECEIVED:
2019-02-21
ACCEPTED:
2019-06-15
COPYRIGHT:
Oficyna Wydawnicza Politechniki Rzeszowskiej, al. Powstańców Warszawy 12, 35-959 Rzeszów