Solutions for \(n\)th-order boundary value problems of impulsive singular nonlinear integro-differential equations in Banach spaces

DOI10.1186/1687-2770-2014-128zbMath1304.45007OpenAlexW2134317046WikidataQ59322205 ScholiaQ59322205MaRDI QIDQ476952

Baoxia Qin, Tingqiu Cao, Yanlai Chen

Publication date: 2 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-128

zbMATH Keywords

Banach spacesmeasure of noncompactnessnonlinearboundary value problemMönch fixed point theoremimpulsive singular integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items

Multiple solutions for singular semipositone boundary value problems of fourth-order differential systems with parameters ⋮ Multiple solutions of boundary value problems for \(n\)th-order singular nonlinear integrodifferential equations in abstract spaces ⋮ Functional impulsive differential equation of order α ∈(1,2) with nonlocal initial and integral boundary conditions

Cites Work

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• Existence of solutions for \(n\)th order impulsive integro-differential equations in a Banach space.
• Multiple solutions for boundary value problems of \(n\)th-order nonlinear integrodifferential equations in Banach spaces
• Multiple positive solutions for first-order impulsive singular integro-differential equations on the half line in a Banach space
• Positive solutions for singular second order differential equations with integral boundary conditions
• Existence of positive solutions for \(n\)th-order nonlinear impulsive singular integro-differential equations in Banach spaces
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• Positive solutions of an infinite boundary value problem for \(n\)th-order nonlinear impulsive singular integro-differential equations in Banach spaces
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