Solution of the First Boundary-Value Problem for a System of Autonomous Second-Order Linear Partial Differential Equations of Parabolic Type with a Single Delay
Joint Authors
Kukharenko, Oleksandra
Svoboda, Zdeněk
Khusainov, Denys Y.
Diblík, Josef
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-27, 27 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-31
Country of Publication
Egypt
No. of Pages
27
Main Subjects
Abstract EN
The first boundary-value problem for an autonomous second-order system of linear partial differential equations of parabolic type with a single delay is considered.
Assuming that a decomposition of the given system into a system of independent scalar second-order linear partial differential equations of parabolic type with a single delay is possible, an analytical solution to the problem is given in the form of formal series and the character of their convergence is discussed.
A delayed exponential function is used in order to analytically solve auxiliary initial problems (arising when Fourier method is applied) for ordinary linear differential equations of the first order with a single delay.
American Psychological Association (APA)
Diblík, Josef& Khusainov, Denys Y.& Kukharenko, Oleksandra& Svoboda, Zdeněk. 2012. Solution of the First Boundary-Value Problem for a System of Autonomous Second-Order Linear Partial Differential Equations of Parabolic Type with a Single Delay. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-27.
https://search.emarefa.net/detail/BIM-455551
Modern Language Association (MLA)
Diblík, Josef…[et al.]. Solution of the First Boundary-Value Problem for a System of Autonomous Second-Order Linear Partial Differential Equations of Parabolic Type with a Single Delay. Abstract and Applied Analysis No. 2012 (2012), pp.1-27.
https://search.emarefa.net/detail/BIM-455551
American Medical Association (AMA)
Diblík, Josef& Khusainov, Denys Y.& Kukharenko, Oleksandra& Svoboda, Zdeněk. Solution of the First Boundary-Value Problem for a System of Autonomous Second-Order Linear Partial Differential Equations of Parabolic Type with a Single Delay. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-27.
https://search.emarefa.net/detail/BIM-455551
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455551