Solvability of a class of boundary value problems in the space of convergent sequences. Issue 11 (18th August 2018)

• Record Type: Journal Article
• Authors: Mursaleen, M.; Rizvi, Syed M. H.; Samet, B.
• Is Part Of: Applicable analysis. Volume 97:Issue 11(2018)
• Page Start: 1829
• Page End: 1845
• Publication Date: 2018-08-18
• Subjects: Infinite system -- differential equations -- Banach sequence space -- measures of noncompactness -- Darbo's theorem; 93C15 -- 47H08 -- 46B45; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2017.1343464
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract: We consider two types of infinite systems of second-order differential equations with boundary conditions in the Banach sequence space c . For each system, sufficient conditions are provided for the existence of solutions. Our approach is based on the use of measure of noncompactness concept and the application of Darbo's theorem for condensing operators. Some examples are presented to illustrate the obtained results.