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

Abstract We apply the concept of measure of noncompactness to study the existence of solution of second order differential equations with initial conditions in the sequence space n(ϕ) $n(\phi)$.

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Bibliographic Details
Published inAdvances in difference equations Vol. 2018; no. 1; pp. 1 - 8
Main Authors Alotaibi, Abdullah, Mursaleen, M., Alamri, Badriah A. S.
Format Journal Article
LanguageEnglish
Published SpringerOpen 19.10.2018
Subjects
Darbo’s fixed point theorem
Infinite system of second order differential equations
Measure of noncompactness
Sequence spaces
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Summary:Abstract We apply the concept of measure of noncompactness to study the existence of solution of second order differential equations with initial conditions in the sequence space n(ϕ) $n(\phi)$.
ISSN:1687-1847
1687-1847
DOI:10.1186/s13662-018-1810-9