Nonlinear Fredholm equations in modular function spaces
Date
2019-03-05
Authors
Bachar, Mostafa
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We investigate the existence of solutions in modular function spaces of the Fredholm integral equation
Φ(θ) = g(θ) + ∫10 ƒ(θ, σ, Φ(σ)) dσ,
where Φ(θ), g(θ) ∈ Lρ, θ ∈ [0, 1], ƒ : [0, 1] x [0, 1] x Lρ → ℝ. An application in the variable exponent Lebesgue spaces is derived under minimal assumptions on the problem data.
Description
Keywords
Electrorheological fluids, Fixed point, Fredholm equations, Modular function spaces, Variable exponent spaces
Citation
Bachar, M. (2019). Nonlinear Fredholm equations in modular function spaces. <i>Electronic Journal of Differential Equations, 2019</i>(36), pp. 1-9.
Rights
Attribution 4.0 International