Solvability of nonlinear integral equations of product type

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dc.contributor.authorBoulfoul, Bilal
dc.contributor.authorBellour, Azzeddine
dc.contributor.authorDjebali, Smail
dc.date.accessioned2021-12-20T20:20:04Z
dc.date.available2021-12-20T20:20:04Z
dc.date.issued2018-01-15
dc.description.abstractThis article concerns nonlinear functional integral equations of product type. The first two equations set on a the positive half-axis encompass different classes of nonlinear integral equations and may involve the product of finitely many integral functions. The existence of integrable solutions is based on improved versions of Krasnoselskii's fixed point theorem combined with techniques of measure of weak noncompactness and some elements from functional analysis. The third one is an integro-differential equation set on a bounded interval, for which the existence of absolutely continuous solutions is provided. Examples show the applicability of our results.
dc.description.departmentMathematics
dc.formatText
dc.format.extent20 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBoulfoul, B., Bellour, A., & Djebali, S. (2018). Solvability of nonlinear integral equations of product type. <i>Electronic Journal of Differential Equations, 2018</i>(19), pp. 1-20.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15074
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, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectProduct integral equation
dc.subjectMeasure of weak noncompactness
dc.subjectStrict gamma-contraction
dc.subjectKrasnoselskii's fixed point theorem
dc.subjectCaratheodory's conditions
dc.subject(ws)-compact
dc.subjectIntegrable solution
dc.subjectAbsolutely continuous solution
dc.titleSolvability of nonlinear integral equations of product type
dc.typeArticle

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