Nonlinear Fredholm equations in modular function spaces

We investigate the existence of solutions in modular function spaces of the Fredholm integral equation $$ \Phi(\theta) = g(\theta) + \int^1_0 f(\theta,\sigma, \Phi(\sigma)) \,d\sigma, $$ where $\Phi(\theta), g(\theta)\in L_{\rho}, \theta\in [0,1], f: [0,1]\times[0,1]\times L_{\rho}\to \mathbb{...

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Bibliographic Details
Main Author: Mostafa Bachar
Format: Article
Language:English
Published: Texas State University 2019-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/36/abstr.html