Multiple Bounded Positive Solutions to Integral Type BVPs for Singular Second Order ODEs on the Whole Line
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-25
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
This paper is concerned with the integral type boundary value problems of the second order differential equations with one-dimensional p-Laplacian on the whole line.
By constructing a suitable Banach space and a operator equation, sufficient conditions to guarantee the existence of at least three positive solutions of the BVPs are established.
An example is presented to illustrate the main results.
The emphasis is put on the one-dimensional p-Laplacian term [ρ(t)Φ(x’(t))]’ involved with the function ρ, which makes the solutions un-concave.
American Psychological Association (APA)
Liu, Yuji. 2012. Multiple Bounded Positive Solutions to Integral Type BVPs for Singular Second Order ODEs on the Whole Line. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-465106
Modern Language Association (MLA)
Liu, Yuji. Multiple Bounded Positive Solutions to Integral Type BVPs for Singular Second Order ODEs on the Whole Line. Abstract and Applied Analysis No. 2012 (2012), pp.1-23.
https://search.emarefa.net/detail/BIM-465106
American Medical Association (AMA)
Liu, Yuji. Multiple Bounded Positive Solutions to Integral Type BVPs for Singular Second Order ODEs on the Whole Line. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-465106
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465106