Nonoscillatory Solutions for Higher-Order Neutral Dynamic Equations on Time Scales
We study the higher-order neutral dynamic equation {a(t)[(x(t)−p(t)x(τ(t)))Δm]α}Δ+f(t,x(δ(t)))=0 for t∈[t0,∞)T and obtain some necessary and sufficient conditions for the existence of nonoscillatory bounded solutions for this equation.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/428963 |
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| author | Taixiang Sun Hongjian Xi Xiaofeng Peng Weiyong Yu |
| author_facet | Taixiang Sun Hongjian Xi Xiaofeng Peng Weiyong Yu |
| author_sort | Taixiang Sun |
| collection | DOAJ |
| description | We study the higher-order neutral dynamic equation {a(t)[(x(t)−p(t)x(τ(t)))Δm]α}Δ+f(t,x(δ(t)))=0 for t∈[t0,∞)T and obtain some necessary and sufficient conditions for the existence of nonoscillatory
bounded solutions for this equation. |
| format | Article |
| id | doaj-art-71f95dbbe9514d9eb28f7a92547c1ec6 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-71f95dbbe9514d9eb28f7a92547c1ec62025-02-03T05:53:23ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/428963428963Nonoscillatory Solutions for Higher-Order Neutral Dynamic Equations on Time ScalesTaixiang Sun0Hongjian Xi1Xiaofeng Peng2Weiyong Yu3College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, ChinaDepartment of Mathematics, Guangxi College of Finance and Economics, Nanning, Guangxi 530003, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, ChinaWe study the higher-order neutral dynamic equation {a(t)[(x(t)−p(t)x(τ(t)))Δm]α}Δ+f(t,x(δ(t)))=0 for t∈[t0,∞)T and obtain some necessary and sufficient conditions for the existence of nonoscillatory bounded solutions for this equation.http://dx.doi.org/10.1155/2010/428963 |
| spellingShingle | Taixiang Sun Hongjian Xi Xiaofeng Peng Weiyong Yu Nonoscillatory Solutions for Higher-Order Neutral Dynamic Equations on Time Scales Abstract and Applied Analysis |
| title | Nonoscillatory Solutions for Higher-Order Neutral Dynamic Equations on Time Scales |
| title_full | Nonoscillatory Solutions for Higher-Order Neutral Dynamic Equations on Time Scales |
| title_fullStr | Nonoscillatory Solutions for Higher-Order Neutral Dynamic Equations on Time Scales |
| title_full_unstemmed | Nonoscillatory Solutions for Higher-Order Neutral Dynamic Equations on Time Scales |
| title_short | Nonoscillatory Solutions for Higher-Order Neutral Dynamic Equations on Time Scales |
| title_sort | nonoscillatory solutions for higher order neutral dynamic equations on time scales |
| url | http://dx.doi.org/10.1155/2010/428963 |
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