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On the oscillation of higher order delay differential equations
The aim of this paper is to study the asymptotic properties and oscillation of the n-th order delay differential equation r(t)[x⁽ⁿ⁻¹⁾(t)]γ)+ q(t)f(x(τ (t))) = 0. The results obtained are based on some new comparison theorems that reduce the problem of oscillation of an n-th order equation to tha...
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Інститут математики НАН України
2012
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| Series: | Нелінійні коливання |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/175569 |
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irk-123456789-1755692021-02-02T01:29:19Z On the oscillation of higher order delay differential equations Baculikova, B. Dzurina, J. Graef, J.R. The aim of this paper is to study the asymptotic properties and oscillation of the n-th order delay differential equation r(t)[x⁽ⁿ⁻¹⁾(t)]γ)+ q(t)f(x(τ (t))) = 0. The results obtained are based on some new comparison theorems that reduce the problem of oscillation of an n-th order equation to that of the oscillation of one or more first order equations. Вивчено асимптотичнi властивостi та осциляцiю диференцiального рiвняння n-го порядку з запiзненням r(t)[x⁽ⁿ⁻¹⁾(t)]γ)+ q(t)f(x(τ (t))) = 0. Отриманi результати базуються на деяких нових теоремах порiвняння, якi зводять задачу про осциляцiю рiвняння n-го порядку до такої ж задачi для одного або кiлькох рiвнянь першого порядку. 2012 Article On the oscillation of higher order delay differential equations / B. Baculikova, J. Dzurina, J.R. Graef // Нелінійні коливання. — 2012. — Т. 15, № 1. — С. 13-24. — Бібліогр.: 21 назв. — англ. 1562-3076 http://dspace.nbuv.gov.ua/handle/123456789/175569 517.9 en Нелінійні коливання Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The aim of this paper is to study the asymptotic properties and oscillation of the n-th order delay differential equation
r(t)[x⁽ⁿ⁻¹⁾(t)]γ)+ q(t)f(x(τ (t))) = 0.
The results obtained are based on some new comparison theorems that reduce the problem of oscillation of an n-th order equation to that of the oscillation of one or more first order equations. |
| format |
Article |
| author |
Baculikova, B. Dzurina, J. Graef, J.R. |
| spellingShingle |
Baculikova, B. Dzurina, J. Graef, J.R. On the oscillation of higher order delay differential equations Нелінійні коливання |
| author_facet |
Baculikova, B. Dzurina, J. Graef, J.R. |
| author_sort |
Baculikova, B. |
| title |
On the oscillation of higher order delay differential equations |
| title_short |
On the oscillation of higher order delay differential equations |
| title_full |
On the oscillation of higher order delay differential equations |
| title_fullStr |
On the oscillation of higher order delay differential equations |
| title_full_unstemmed |
On the oscillation of higher order delay differential equations |
| title_sort |
on the oscillation of higher order delay differential equations |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/175569 |
| citation_txt |
On the oscillation of higher order delay differential equations / B. Baculikova, J. Dzurina, J.R. Graef // Нелінійні коливання. — 2012. — Т. 15, № 1. — С. 13-24. — Бібліогр.: 21 назв. — англ. |
| series |
Нелінійні коливання |
| work_keys_str_mv |
AT baculikovab ontheoscillationofhigherorderdelaydifferentialequations AT dzurinaj ontheoscillationofhigherorderdelaydifferentialequations AT graefjr ontheoscillationofhigherorderdelaydifferentialequations |
| first_indexed |
2023-10-18T22:39:08Z |
| last_indexed |
2023-10-18T22:39:08Z |
| _version_ |
1796156078783725568 |