Banas, JozefMursaleen, MohammadRizvi, Syed M. H.2022-08-172022-08-172017-10-17Banas, 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. 1-12.1072-6691https://hdl.handle.net/10877/16063Using 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.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalMeasure of noncompactnessEquicontinuous familyBoundary value problemInfinite system of differential equationsFredholm integral equationArticle