Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions

This paper studies the existence of continuous solutions for a class of nonlinear singular second-order ordinary differential equations subject to one of the following boundary conditions: periodic-deviated multipoint boundary conditions, periodic-integral boundary conditions, and periodic-nonlocal...

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Bibliographic Details
Published inJournal of function spaces Vol. 2018; no. 2018; pp. 1 - 11
Main Authors El-Sayed, A. M. A., Gaafar, Fatma M.
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2018
Hindawi
John Wiley & Sons, Inc
Wiley
Subjects
Applied mathematics
Banach spaces
Boundary conditions
Boundary value problems
Differential equations
Existence theorems
Fixed points (mathematics)
Integral equations
Integrals
Mathematical analysis
Schauder fixpoint theorem
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Summary:This paper studies the existence of continuous solutions for a class of nonlinear singular second-order ordinary differential equations subject to one of the following boundary conditions: periodic-deviated multipoint boundary conditions, periodic-integral boundary conditions, and periodic-nonlocal integral conditions in the Riemann-Stieltjes sense. An existence result based on the Schauder fixed point theorem and Leray-Schauder continuation principle is used to obtain at least one continuous solution for the singular second-order ordinary differential problems. Two examples are given to show the application of our results.
Bibliography:ObjectType-Article-1
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ISSN:2314-8896
2314-8888
DOI:10.1155/2018/9726475