Oscillation properties of nonlinear neutral differential equations of nth order
We consider the nonlinear neutral functional differential equation [r(t)[x(t)+∫abp(t,μ)x(τ(t,μ))dμ](n−1)]′+δ∫cdq(t,ξ)f(x(σ(t,ξ)))dξ=0 with continuous arguments. We will develop oscillatory and asymptotic properties of the solutions.
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204406541 |
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| _version_ | 1832554446020673536 |
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| author | T. Candan R. S. Dahiya |
| author_facet | T. Candan R. S. Dahiya |
| author_sort | T. Candan |
| collection | DOAJ |
| description | We consider the nonlinear neutral functional differential equation [r(t)[x(t)+∫abp(t,μ)x(τ(t,μ))dμ](n−1)]′+δ∫cdq(t,ξ)f(x(σ(t,ξ)))dξ=0 with continuous arguments. We will develop oscillatory and asymptotic properties of the solutions. |
| format | Article |
| id | doaj-art-b08b84f07001450b98dfcefb312c5c07 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b08b84f07001450b98dfcefb312c5c072025-02-03T05:51:36ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004713893390010.1155/S0161171204406541Oscillation properties of nonlinear neutral differential equations of nth orderT. Candan0R. S. Dahiya1Department of Mathematics, Niğde University, Niğde 51200, TurkeyDepartment of Mathematics, Iowa State University, Ames 50011, IA, USAWe consider the nonlinear neutral functional differential equation [r(t)[x(t)+∫abp(t,μ)x(τ(t,μ))dμ](n−1)]′+δ∫cdq(t,ξ)f(x(σ(t,ξ)))dξ=0 with continuous arguments. We will develop oscillatory and asymptotic properties of the solutions.http://dx.doi.org/10.1155/S0161171204406541 |
| spellingShingle | T. Candan R. S. Dahiya Oscillation properties of nonlinear neutral differential equations of nth order International Journal of Mathematics and Mathematical Sciences |
| title | Oscillation properties of nonlinear neutral differential equations of nth order |
| title_full | Oscillation properties of nonlinear neutral differential equations of nth order |
| title_fullStr | Oscillation properties of nonlinear neutral differential equations of nth order |
| title_full_unstemmed | Oscillation properties of nonlinear neutral differential equations of nth order |
| title_short | Oscillation properties of nonlinear neutral differential equations of nth order |
| title_sort | oscillation properties of nonlinear neutral differential equations of nth order |
| url | http://dx.doi.org/10.1155/S0161171204406541 |
| work_keys_str_mv | AT tcandan oscillationpropertiesofnonlinearneutraldifferentialequationsofnthorder AT rsdahiya oscillationpropertiesofnonlinearneutraldifferentialequationsofnthorder |