On Nonseparated Three-Point Boundary Value Problems for Linear Functional Differential Equations
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-07
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
For a system of linear functional differential equations, we consider a three-point problem with nonseparated boundary conditions determined by singular matrices.
We show that, to investigate such a problem, it is often useful to reduce it to a parametric family of two-point boundary value problems for a suitably perturbed differential system.
The auxiliary parametrised two-point problems are then studied by a method based upon a special kind of successive approximations constructed explicitly, whereas the values of the parameters that correspond to solutions of the original problem are found from certain numerical determining equations.
We prove the uniform convergence of the approximations and establish some properties of the limit and determining functions.
American Psychological Association (APA)
Rontó, A.& Rontó, M.. 2011. On Nonseparated Three-Point Boundary Value Problems for Linear Functional Differential Equations. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-463703
Modern Language Association (MLA)
Rontó, A.& Rontó, M.. On Nonseparated Three-Point Boundary Value Problems for Linear Functional Differential Equations. Abstract and Applied Analysis No. 2011 (2011), pp.1-22.
https://search.emarefa.net/detail/BIM-463703
American Medical Association (AMA)
Rontó, A.& Rontó, M.. On Nonseparated Three-Point Boundary Value Problems for Linear Functional Differential Equations. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-463703
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463703