Nonoscillation of Second-Order Dynamic Equations with Several Delays
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-34, 34 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-04-14
Country of Publication
Egypt
No. of Pages
34
Main Subjects
Abstract EN
Existence of nonoscillatory solutions for the second-order dynamic equation (A0xΔ)Δ(t)+∑i∈[1,n]ℕAi(t)x(αi(t))=0 for t∈[t0,∞)T is investigated in this paper.
The results involve nonoscillation criteria in terms of relevant dynamic and generalized characteristic inequalities, comparison theorems, and explicit nonoscillation and oscillation conditions.
This allows to obtain most known nonoscillation results for second-order delay differential equations in the case A0(t)≡1 for t∈[t0,∞)R and for second-order nondelay difference equations (αi(t)=t+1 for t∈[t0,∞)N).
Moreover, the general results imply new nonoscillation tests for delay differential equations with arbitrary A0 and for second-order delay difference equations.
Known nonoscillation results for quantum scales can also be deduced.
American Psychological Association (APA)
Braverman, Elena& Karpuz, Başak. 2011. Nonoscillation of Second-Order Dynamic Equations with Several Delays. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-34.
https://search.emarefa.net/detail/BIM-483315
Modern Language Association (MLA)
Braverman, Elena& Karpuz, Başak. Nonoscillation of Second-Order Dynamic Equations with Several Delays. Abstract and Applied Analysis No. 2011 (2011), pp.1-34.
https://search.emarefa.net/detail/BIM-483315
American Medical Association (AMA)
Braverman, Elena& Karpuz, Başak. Nonoscillation of Second-Order Dynamic Equations with Several Delays. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-34.
https://search.emarefa.net/detail/BIM-483315
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483315