On Delay-Independent Criteria for Oscillation of Higher-Order Functional Differential Equations
We investigate the oscillation of the following higher-order functional differential equation: x(n)(t)+q(t)|x(t-τ)|λ-1x(t-τ)=e(t), where q(t) and e(t) are continuous functions on [t0,∞), 1>λ>0 and τ≠0 are constants. Unlike most of delay-dependent oscillation results in the literature, two del...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/173158 |
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| author | Yuangong Sun |
| author_facet | Yuangong Sun |
| author_sort | Yuangong Sun |
| collection | DOAJ |
| description | We investigate the oscillation of the following higher-order functional differential equation: x(n)(t)+q(t)|x(t-τ)|λ-1x(t-τ)=e(t), where q(t) and e(t) are continuous functions on [t0,∞), 1>λ>0 and τ≠0 are constants. Unlike most of delay-dependent oscillation results in the literature, two delay-independent oscillation criteria for the equation are established in both the case τ>0 and the case τ<0 under the assumption that the potentials q(t) and e(t) change signs on [t0,∞). |
| format | Article |
| id | doaj-art-178daea1dc5b40c38c74c1fe8975b060 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-178daea1dc5b40c38c74c1fe8975b0602025-02-03T01:33:07ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/173158173158On Delay-Independent Criteria for Oscillation of Higher-Order Functional Differential EquationsYuangong Sun0School of Mathematics, University of Jinan, Jinan, Shandong 250022, ChinaWe investigate the oscillation of the following higher-order functional differential equation: x(n)(t)+q(t)|x(t-τ)|λ-1x(t-τ)=e(t), where q(t) and e(t) are continuous functions on [t0,∞), 1>λ>0 and τ≠0 are constants. Unlike most of delay-dependent oscillation results in the literature, two delay-independent oscillation criteria for the equation are established in both the case τ>0 and the case τ<0 under the assumption that the potentials q(t) and e(t) change signs on [t0,∞).http://dx.doi.org/10.1155/2011/173158 |
| spellingShingle | Yuangong Sun On Delay-Independent Criteria for Oscillation of Higher-Order Functional Differential Equations Abstract and Applied Analysis |
| title | On Delay-Independent Criteria for Oscillation of Higher-Order Functional Differential Equations |
| title_full | On Delay-Independent Criteria for Oscillation of Higher-Order Functional Differential Equations |
| title_fullStr | On Delay-Independent Criteria for Oscillation of Higher-Order Functional Differential Equations |
| title_full_unstemmed | On Delay-Independent Criteria for Oscillation of Higher-Order Functional Differential Equations |
| title_short | On Delay-Independent Criteria for Oscillation of Higher-Order Functional Differential Equations |
| title_sort | on delay independent criteria for oscillation of higher order functional differential equations |
| url | http://dx.doi.org/10.1155/2011/173158 |
| work_keys_str_mv | AT yuangongsun ondelayindependentcriteriaforoscillationofhigherorderfunctionaldifferentialequations |