Nonlinear Fredholm equations in modular function spaces

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dc.contributor.authorBachar, Mostafa
dc.date.accessioned2021-11-01T18:04:12Z
dc.date.available2021-11-01T18:04:12Z
dc.date.issued2019-03-05
dc.description.abstractWe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent9 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBachar, M. (2019). Nonlinear Fredholm equations in modular function spaces. <i>Electronic Journal of Differential Equations, 2019</i>(36), pp. 1-9.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14745
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectElectrorheological fluids
dc.subjectFixed point
dc.subjectFredholm equations
dc.subjectModular function spaces
dc.subjectVariable exponent spaces
dc.titleNonlinear Fredholm equations in modular function spacesen_US
dc.typeArticle

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