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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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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Abstract 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) $n(\phi)$.
AbstractList 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) $n(\phi)$.
ArticleNumber 377
Author Alamri, Badriah A. S.
Alotaibi, Abdullah
Mursaleen, M.
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10.1007/978-81-322-1886-9
10.1016/S0377-0427(00)00708-1
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Snippet Abstract We apply the concept of measure of noncompactness to study the existence of solution of second order differential equations with initial conditions in...
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SubjectTerms Darbo’s fixed point theorem
Infinite system of second order differential equations
Measure of noncompactness
Sequence spaces
Title Solvability of second order linear differential equations in the sequence space n(ϕ)$n(\phi)
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