Nonlinear Fredholm equations in modular function spaces
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.
Citation
Bachar, M. (2019). Nonlinear Fredholm equations in modular function spaces. Electronic Journal of Differential Equations, 2019(36), pp. 1-9.Rights License

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