Oscillation of solutions to odd-order nonlinear neutral functional differential equations
In this note, we establish some new comparison theorems and Philos-type criteria for oscillation of solutions to the odd-order nonlinear neutral functional differential equation $$ [x(t)+p(t)x(au(t))]^{(n)}+q(t)x^alpha(sigma(t))=0, $$ where $0leq p(t)leq p_0<infty$ and $alphageq1$.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2011-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/23/abstr.html |
| _version_ | 1831767299717070848 |
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| author | Tongxing Li Ethiraju Thandapani |
| author_facet | Tongxing Li Ethiraju Thandapani |
| author_sort | Tongxing Li |
| collection | DOAJ |
| description | In this note, we establish some new comparison theorems and Philos-type criteria for oscillation of solutions to the odd-order nonlinear neutral functional differential equation $$ [x(t)+p(t)x(au(t))]^{(n)}+q(t)x^alpha(sigma(t))=0, $$ where $0leq p(t)leq p_0<infty$ and $alphageq1$. |
| first_indexed | 2024-12-22T06:38:53Z |
| format | Article |
| id | doaj.art-f1b8b4643eb44bd8ad58a735a68d679a |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-22T06:38:53Z |
| publishDate | 2011-02-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-f1b8b4643eb44bd8ad58a735a68d679a2022-12-21T18:35:29ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912011-02-01201123,112Oscillation of solutions to odd-order nonlinear neutral functional differential equationsTongxing LiEthiraju ThandapaniIn this note, we establish some new comparison theorems and Philos-type criteria for oscillation of solutions to the odd-order nonlinear neutral functional differential equation $$ [x(t)+p(t)x(au(t))]^{(n)}+q(t)x^alpha(sigma(t))=0, $$ where $0leq p(t)leq p_0<infty$ and $alphageq1$.http://ejde.math.txstate.edu/Volumes/2011/23/abstr.htmlOdd-orderneutral differential equationoscillationasymptotic behavior |
| spellingShingle | Tongxing Li Ethiraju Thandapani Oscillation of solutions to odd-order nonlinear neutral functional differential equations Electronic Journal of Differential Equations Odd-order neutral differential equation oscillation asymptotic behavior |
| title | Oscillation of solutions to odd-order nonlinear neutral functional differential equations |
| title_full | Oscillation of solutions to odd-order nonlinear neutral functional differential equations |
| title_fullStr | Oscillation of solutions to odd-order nonlinear neutral functional differential equations |
| title_full_unstemmed | Oscillation of solutions to odd-order nonlinear neutral functional differential equations |
| title_short | Oscillation of solutions to odd-order nonlinear neutral functional differential equations |
| title_sort | oscillation of solutions to odd order nonlinear neutral functional differential equations |
| topic | Odd-order neutral differential equation oscillation asymptotic behavior |
| url | http://ejde.math.txstate.edu/Volumes/2011/23/abstr.html |
| work_keys_str_mv | AT tongxingli oscillationofsolutionstooddordernonlinearneutralfunctionaldifferentialequations AT ethirajuthandapani oscillationofsolutionstooddordernonlinearneutralfunctionaldifferentialequations |