Solvability of second order linear differential equations in the sequence space \(n(\phi)\)

DOI10.1186/s13662-018-1810-9zbMath1448.34121OpenAlexW2897659531MaRDI QIDQ1713811

Badriah A. S. Alamri, Abdullah M. Alotaibi, Mohammad Mursaleen

Publication date: 30 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1810-9

zbMATH Keywords

sequence spacesmeasure of noncompactnessDarbo's fixed point theoreminfinite system of second-order differential equations

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Linear differential equations in abstract spaces (34G10) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items

Solvability of infinite systems of second order differential equations in the sequence space \(m(\Delta_v^u, \phi ,p)\), Defining some new $n$-tuple sequence spaces related to $l_p$ space with the help of Orlicz function

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