Existence Conditions for Bounded Solutions of Weakly Perturbed Linear Impulsive Systems
Joint Authors
Boichuk, Alexander
Škoríková, Jaroslava
Langerová, Martina
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-15
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The weakly perturbed linear nonhomogeneous impulsive systems in the form ẋ=A(t)x + εA1(t)x + f(t), t∈R, t∉T:={τi}Z, Δx|t=τi=γi+εA1ix(τi-), τi∈T⊂R, γi∈Rn, and i∈Z are considered.
Under the assumption that the generating system (for ε=0) does not have solutions bounded on the entire real axis for some nonhomogeneities and using the Vishik-Lyusternik method, we establish conditions for the existence of solutions of these systems bounded on the entire real axis in the form of a Laurent series in powers of small parameter ε with finitely many terms with negative powers of ε, and we suggest an algorithm of construction of these solutions.
American Psychological Association (APA)
Boichuk, Alexander& Langerová, Martina& Škoríková, Jaroslava. 2011. Existence Conditions for Bounded Solutions of Weakly Perturbed Linear Impulsive Systems. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-498510
Modern Language Association (MLA)
Boichuk, Alexander…[et al.]. Existence Conditions for Bounded Solutions of Weakly Perturbed Linear Impulsive Systems. Abstract and Applied Analysis No. 2011 (2011), pp.1-13.
https://search.emarefa.net/detail/BIM-498510
American Medical Association (AMA)
Boichuk, Alexander& Langerová, Martina& Škoríková, Jaroslava. Existence Conditions for Bounded Solutions of Weakly Perturbed Linear Impulsive Systems. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-498510
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498510