SUFFICIENT CONDITIONS FOR OSCILLATION OF THE SOLUTIONS OF IMPULSIVE LINEAR HOMOGENEOUS DIFFERENTIAL EQUATIONS WITH RETARDED ARGUMENT

TitleSUFFICIENT CONDITIONS FOR OSCILLATION OF THE SOLUTIONS OF IMPULSIVE LINEAR HOMOGENEOUS DIFFERENTIAL EQUATIONS WITH RETARDED ARGUMENT
Publication TypeJournal Article
Year of Publication2007
AuthorsDishliev, A, Markova, N
Secondary TitleCommunications in Applied Analysis
Volume11
Issue2
Start Page247
Pagination253
Date Published04/2007
Type of Workscientific: mathematics
ISSN1083–2564
AMS34A37, 34K15
Abstract
In the present paper, linear homogeneous differential equations with impulsive effects and retarded  argument are investigated. The impulsive influences are realised in the moments where the integral curve of the equation intersects preliminary given curves in the equation’s expanded phase space. The sufficient conditions for oscillation of the solutions of such equations are found.
URLhttp://www.acadsol.eu/en/articles/11/2/7.pdf
Short TitleSufficient Conditions for Oscillation
Refereed DesignationRefereed
Full Text

References

[1] D. Bainov and A. Dishliev, The phenomenon “beating” of the solutions of impulsive functional differential equations, Communications in Applied Analysis, 1 (1997), no. 4, 435-441.
[2] D. Bainov and P. Simeonov, Oscillation Theory of Impulsive Differential Equations, International Publications, FL, 1998.