Existence of solutions to a boundary-value problem for an infinite system of differential equations

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dc.contributor.authorBanas, Jozef
dc.contributor.authorMursaleen, Mohammad
dc.contributor.authorRizvi, Syed M. H.
dc.date.accessioned2022-08-17T14:18:57Z
dc.date.available2022-08-17T14:18:57Z
dc.date.issued2017-10-17
dc.description.abstractUsing techniques associated with measures of noncompactness we prove an existence of solutions for a boundary-value problem for an infinite system of ordinary differential equations of second order. Our approach depends on transforming of the original boundary-value problem into an infinite system of integral equations of Fredholm type. The settings for this article are in the classical Banach sequence space lp with p ≥ 1.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBanas, J., Mursaleen, M., & Rizvi, S. M. H. (2017). Existence of solutions to a boundary-value problem for an infinite system of differential equations. <i>Electronic Journal of Differential Equations, 2017</i>(262), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16063
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, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectMeasure of noncompactness
dc.subjectEquicontinuous family
dc.subjectBoundary value problem
dc.subjectInfinite system of differential equations
dc.subjectFredholm integral equation
dc.titleExistence of solutions to a boundary-value problem for an infinite system of differential equationsen_US
dc.typeArticle

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