On the Critical Case in Oscillation for Differential Equations with a Single Delay and with Several Delays
Joint Authors
Baštinec, Jaromír
Berezansky, Leonid
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-09-23
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
New nonoscillation and oscillation criteria are derived for scalar delay differential equations x˙(t)+a(t)x(h(t))=0,a(t)≥0,h(t)≤t,t≥t0, and x˙(t)+∑k=1mak(t)x(hk(t))=0,ak(t)≥0,hk(t)≤t, and t≥t0, in the critical case including equations with several unbounded delays, without the usual assumption that the parameters a,h,ak, and hk of the equations are continuous functions.
These conditions improve and extend some known oscillation results in the critical case for delay differential equations.
American Psychological Association (APA)
Baštinec, Jaromír& Berezansky, Leonid. 2010. On the Critical Case in Oscillation for Differential Equations with a Single Delay and with Several Delays. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-20.
https://search.emarefa.net/detail/BIM-470578
Modern Language Association (MLA)
Baštinec, Jaromír& Berezansky, Leonid. On the Critical Case in Oscillation for Differential Equations with a Single Delay and with Several Delays. Abstract and Applied Analysis No. 2010 (2010), pp.1-20.
https://search.emarefa.net/detail/BIM-470578
American Medical Association (AMA)
Baštinec, Jaromír& Berezansky, Leonid. On the Critical Case in Oscillation for Differential Equations with a Single Delay and with Several Delays. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-20.
https://search.emarefa.net/detail/BIM-470578
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470578