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Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions
Joint Authors
El-Sayed, A. M. A.
Gaafar, Fatma M.
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-08
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
El-Sayed, A. M. A.& Gaafar, Fatma M.. 2018. Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1186756
Modern Language Association (MLA)
El-Sayed, A. M. A.& Gaafar, Fatma M.. Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions. Journal of Function Spaces No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1186756
American Medical Association (AMA)
El-Sayed, A. M. A.& Gaafar, Fatma M.. Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1186756
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186756