Boundary-Value Problems for Weakly Nonlinear Delay Differential Systems
Joint Authors
Boichuk, Alexander
Khusainov, Denys Y.
Růžičková, Miroslava
Diblík, Josef
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-16
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
Conditions are derived of the existence of solutions of nonlinear boundary-value problems for systems of n ordinary differential equations with constant coefficients and single delay (in the linear part) and with a finite number of measurable delays of argument in nonlinearity: ż(t)=Az(t-τ)+g(t)+εZ(z(hi(t),t,ε), t∈[a,b], assuming that these solutions satisfy the initial and boundary conditions z(s):=ψ(s) if s∉[a,b], lz(⋅)=α∈Rm.
The use of a delayed matrix exponential and a method of pseudoinverse by Moore-Penrose matrices led to an explicit and analytical form of sufficient conditions for the existence of solutions in a given space and, moreover, to the construction of an iterative process for finding the solutions of such problems in a general case when the number of boundary conditions (defined by a linear vector functional l) does not coincide with the number of unknowns in the differential system with a single delay.
American Psychological Association (APA)
Boichuk, Alexander& Diblík, Josef& Khusainov, Denys Y.& Růžičková, Miroslava. 2011. Boundary-Value Problems for Weakly Nonlinear Delay Differential Systems. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-486649
Modern Language Association (MLA)
Boichuk, Alexander…[et al.]. Boundary-Value Problems for Weakly Nonlinear Delay Differential Systems. Abstract and Applied Analysis No. 2011 (2011), pp.1-19.
https://search.emarefa.net/detail/BIM-486649
American Medical Association (AMA)
Boichuk, Alexander& Diblík, Josef& Khusainov, Denys Y.& Růžičková, Miroslava. Boundary-Value Problems for Weakly Nonlinear Delay Differential Systems. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-486649
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486649