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 $alphageq1$.
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Texas State University
2011-02-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/23/abstr.html |
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doaj-f1b8b4643eb44bd8ad58a735a68d679a2020-11-25T00:56:28ZengTexas 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Tongxing Li Ethiraju Thandapani |
| 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 |
| author_facet |
Tongxing Li Ethiraju Thandapani |
| author_sort |
Tongxing Li |
| title |
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_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_sort |
oscillation of solutions to odd-order nonlinear neutral functional differential equations |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2011-02-01 |
| 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 $alphageq1$. |
| 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 |
| _version_ |
1725227111827898368 |