Fourth-Order Four-Point Boundary Value Problem : A Solutions Funnel Approach
Joint Authors
Palamides, Alex P.
Palamides, Panos K.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-13
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We investigate the existence of positive or a negative solution of several classes of four-point boundary-value problems for fourth-order ordinary differential equations.
Although these problems do not always admit a (positive) Green's function, the obtained solution is still of definite sign.
Furthermore, we prove the existence of an entire continuum of solutions.
Our technique relies on the continuum property (connectedness and compactness) of the solutions funnel (Kneser's Theorem), combined with the corresponding vector field.
American Psychological Association (APA)
Palamides, Panos K.& Palamides, Alex P.. 2012. Fourth-Order Four-Point Boundary Value Problem : A Solutions Funnel Approach. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-467149
Modern Language Association (MLA)
Palamides, Panos K.& Palamides, Alex P.. Fourth-Order Four-Point Boundary Value Problem : A Solutions Funnel Approach. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-467149
American Medical Association (AMA)
Palamides, Panos K.& Palamides, Alex P.. Fourth-Order Four-Point Boundary Value Problem : A Solutions Funnel Approach. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-467149
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467149