Existence of solutions to infinite systems of nonlinear integral equations on the real half-axis

dc.contributor.authorChlebowicz, Agnieszka
dc.date.accessioned2021-08-27T16:54:25Z
dc.date.available2021-08-27T16:54:25Z
dc.date.issued2021-07-06
dc.description.abstractIn this article we study the solvability of an infinite system of integral equations of Volterra-Hammerstein type in the space of functions defined, continuous and bounded on the real half-axis with values in the sequence space l1. We extend a known existence result for such an infinite system of integral equations and prove a theorem applicable to a wider class of considered infinite systems. We also give an example to show the usefulness of our result.
dc.description.departmentMathematics
dc.formatText
dc.format.extent20 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationChlebowicz, A. (2021). Existence of solutions to infinite systems of nonlinear integral equations on the real half-axis. <i>Electronic Journal of Differential Equations, 2021</i>(61), pp. 1-20.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14471
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, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectInfinite system of integral equations
dc.subjectMeasure of noncompactness
dc.subjectFixed point theorem
dc.titleExistence of solutions to infinite systems of nonlinear integral equations on the real half-axisen_US
dc.typeArticle

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