Existence of monotonic $L_\varphi$-solutions for quadratic Volterra functional-integral equations

Existence of monotonic $L_\varphi$-solutions for quadratic Volterra functional-integral equations

We study the quadratic integral equation in the space of Orlicz space $E_{\varphi}$ in the most important case when $\varphi$ satisfies the $\Delta_2$-condition. Considered operators are not compact and then we use the technique of measure of noncompactness associated with the Darbo fixed point theo...

Full description

Bibliographic Details
Main Authors: Mieczyslaw Cichon, Mohamed Metwali
Format: Article
Language:English
Published: University of Szeged 2015-03-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
quadratic integral equation
monotonic solutions
orlicz spaces
$\delta_2$-condition
superposition operators
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3618

Internet

http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3618

Similar Items