Solvability of a Higher-Order Three-Point Boundary Value Problem on Time Scales
Author
Source
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-12-15
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We consider a higher-order three-point boundary value problem on time scales.
A new existence result is first obtained by using a fixed point theorem due to Krasnoselskii and Zabreiko.
Later, under certain growth conditions imposed on the nonlinearity, several sufficient conditions for the existence of a nonnegative and nontrivial solution are obtained by using Leray-Schauder nonlinear alternative.
Our conditions imposed on nonlinearity are all very easy to verify; as an application, some examples to demonstrate our results are given.
American Psychological Association (APA)
Sang, Yanbin. 2009. Solvability of a Higher-Order Three-Point Boundary Value Problem on Time Scales. Abstract and Applied Analysis،Vol. 2009, no. 2009, pp.1-16.
https://search.emarefa.net/detail/BIM-464259
Modern Language Association (MLA)
Sang, Yanbin. Solvability of a Higher-Order Three-Point Boundary Value Problem on Time Scales. Abstract and Applied Analysis No. 2009 (2009), pp.1-16.
https://search.emarefa.net/detail/BIM-464259
American Medical Association (AMA)
Sang, Yanbin. Solvability of a Higher-Order Three-Point Boundary Value Problem on Time Scales. Abstract and Applied Analysis. 2009. Vol. 2009, no. 2009, pp.1-16.
https://search.emarefa.net/detail/BIM-464259
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464259
