Oscillation Criteria for Even Order Neutral Equations with Distributed Deviating Argument
We present new oscillation criteria for the even order neutral delay differential equations with distributed deviating argument [r(t)ψ(x(t))Z(n−1)(t)]′+∫abp(t,ξ)f[x(g(t,ξ))]dσ(ξ)=0, t≥t0, where Z(t)=x(t)+q(t)x(t−τ). Assumptions in our theorems are less restrictive, whereas the proofs are signific...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2010/308357 |
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| _version_ | 1832553345806499840 |
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| author | Siyu Zhang Fanwei Meng |
| author_facet | Siyu Zhang Fanwei Meng |
| author_sort | Siyu Zhang |
| collection | DOAJ |
| description | We present new oscillation criteria for the even order neutral delay differential equations with
distributed deviating argument
[r(t)ψ(x(t))Z(n−1)(t)]′+∫abp(t,ξ)f[x(g(t,ξ))]dσ(ξ)=0, t≥t0,
where Z(t)=x(t)+q(t)x(t−τ). Assumptions in our theorems are less restrictive, whereas the
proofs are significantly simpler compared to those by Wang et al. (2005). |
| format | Article |
| id | doaj-art-9567724b125d4aa5b2401d31fc4fd871 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-9567724b125d4aa5b2401d31fc4fd8712025-02-03T05:54:14ZengWileyInternational Journal of Differential Equations1687-96431687-96512010-01-01201010.1155/2010/308357308357Oscillation Criteria for Even Order Neutral Equations with Distributed Deviating ArgumentSiyu Zhang0Fanwei Meng1Department of Mathematics, Qufu Normal University, Qufu 273165, ChinaDepartment of Mathematics, Qufu Normal University, Qufu 273165, ChinaWe present new oscillation criteria for the even order neutral delay differential equations with distributed deviating argument [r(t)ψ(x(t))Z(n−1)(t)]′+∫abp(t,ξ)f[x(g(t,ξ))]dσ(ξ)=0, t≥t0, where Z(t)=x(t)+q(t)x(t−τ). Assumptions in our theorems are less restrictive, whereas the proofs are significantly simpler compared to those by Wang et al. (2005).http://dx.doi.org/10.1155/2010/308357 |
| spellingShingle | Siyu Zhang Fanwei Meng Oscillation Criteria for Even Order Neutral Equations with Distributed Deviating Argument International Journal of Differential Equations |
| title | Oscillation Criteria for Even Order Neutral Equations with Distributed Deviating Argument |
| title_full | Oscillation Criteria for Even Order Neutral Equations with Distributed Deviating Argument |
| title_fullStr | Oscillation Criteria for Even Order Neutral Equations with Distributed Deviating Argument |
| title_full_unstemmed | Oscillation Criteria for Even Order Neutral Equations with Distributed Deviating Argument |
| title_short | Oscillation Criteria for Even Order Neutral Equations with Distributed Deviating Argument |
| title_sort | oscillation criteria for even order neutral equations with distributed deviating argument |
| url | http://dx.doi.org/10.1155/2010/308357 |
| work_keys_str_mv | AT siyuzhang oscillationcriteriaforevenorderneutralequationswithdistributeddeviatingargument AT fanweimeng oscillationcriteriaforevenorderneutralequationswithdistributeddeviatingargument |