Oscillation of Higher-Order Neutral-Type Periodic Differential Equations with Distributed Arguments
We derive oscillation criteria for general-type neutral differential equations [x(t)+αx(t−Ä) +βx(t+Ä)](n)=δ∫abx(t−s)dsq1(t,s)+δ∫cdx(t+s)dsq2(t,s)=0, t≥t0, where t0≥0, δ=±1, Ä>0, b>a≥0, d>c≥0, α and β are real numbers, th...
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| Format: | Article |
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SpringerOpen
2007-09-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2007/98423 |
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doaj-da0d7190913c47e98e6d1770452fa1b62020-11-24T21:01:37ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2007-09-01200710.1155/2007/98423Oscillation of Higher-Order Neutral-Type Periodic Differential Equations with Distributed ArgumentsA. ZaferR. S. DahiyaWe derive oscillation criteria for general-type neutral differential equations [x(t)+αx(t−Ä) +βx(t+Ä)](n)=δ∫abx(t−s)dsq1(t,s)+δ∫cdx(t+s)dsq2(t,s)=0, t≥t0, where t0≥0, δ=±1, Ä>0, b>a≥0, d>c≥0, α and β are real numbers, the functions q1(t,s):[t0,∞)×[a,b]→℠and q2(t,s):[t0,∞)×[c,d]→℠are nondecreasing in s for each fixed t, and Ä is periodic and continuous with respect to t for each fixed s. In certain special cases, the results obtained generalize and improve some existing ones in the literature.http://dx.doi.org/10.1155/2007/98423 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. Zafer R. S. Dahiya |
| spellingShingle |
A. Zafer R. S. Dahiya Oscillation of Higher-Order Neutral-Type Periodic Differential Equations with Distributed Arguments Journal of Inequalities and Applications |
| author_facet |
A. Zafer R. S. Dahiya |
| author_sort |
A. Zafer |
| title |
Oscillation of Higher-Order Neutral-Type Periodic Differential Equations with Distributed Arguments |
| title_short |
Oscillation of Higher-Order Neutral-Type Periodic Differential Equations with Distributed Arguments |
| title_full |
Oscillation of Higher-Order Neutral-Type Periodic Differential Equations with Distributed Arguments |
| title_fullStr |
Oscillation of Higher-Order Neutral-Type Periodic Differential Equations with Distributed Arguments |
| title_full_unstemmed |
Oscillation of Higher-Order Neutral-Type Periodic Differential Equations with Distributed Arguments |
| title_sort |
oscillation of higher-order neutral-type periodic differential equations with distributed arguments |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2007-09-01 |
| description |
We derive oscillation criteria for general-type neutral differential equations [x(t)+αx(t−Ä) +βx(t+Ä)](n)=δ∫abx(t−s)dsq1(t,s)+δ∫cdx(t+s)dsq2(t,s)=0, t≥t0, where t0≥0, δ=±1, Ä>0, b>a≥0, d>c≥0, α and β are real numbers, the functions q1(t,s):[t0,∞)×[a,b]→℠and q2(t,s):[t0,∞)×[c,d]→℠are nondecreasing in s for each fixed t, and Ä is periodic and continuous with respect to t for each fixed s. In certain special cases, the results obtained generalize and improve some existing ones in the literature. |
| url |
http://dx.doi.org/10.1155/2007/98423 |
| work_keys_str_mv |
AT azafer oscillationofhigherorderneutraltypeperiodicdifferentialequationswithdistributedarguments AT rsdahiya oscillationofhigherorderneutraltypeperiodicdifferentialequationswithdistributedarguments |
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1716777496804851712 |