Positive Periodic Solutions of Second-Order Differential Equations with Delays
The existence results of positive ω-periodic solutions are obtained for the second-order differential equation with delays −u″+a(t)=f(t,u(t−τ1),...,u(t−τn)), where a∈C(ℝ,(0,∞)) is a ω-periodic function, f:ℝ×[0,∞)n→[0,∞) is a continuous function, which is ω-periodic in t, and τ1,τ2,...,τn are positiv...
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Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/829783 |
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doaj-ec5a6f63360648b4a007be43395a4a222020-11-25T00:37:29ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/829783829783Positive Periodic Solutions of Second-Order Differential Equations with DelaysYongxiang Li0Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaThe existence results of positive ω-periodic solutions are obtained for the second-order differential equation with delays −u″+a(t)=f(t,u(t−τ1),...,u(t−τn)), where a∈C(ℝ,(0,∞)) is a ω-periodic function, f:ℝ×[0,∞)n→[0,∞) is a continuous function, which is ω-periodic in t, and τ1,τ2,...,τn are positive constants. Our discussion is based on the fixed point index theory in cones.http://dx.doi.org/10.1155/2012/829783 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yongxiang Li |
| spellingShingle |
Yongxiang Li Positive Periodic Solutions of Second-Order Differential Equations with Delays Abstract and Applied Analysis |
| author_facet |
Yongxiang Li |
| author_sort |
Yongxiang Li |
| title |
Positive Periodic Solutions of Second-Order Differential Equations with Delays |
| title_short |
Positive Periodic Solutions of Second-Order Differential Equations with Delays |
| title_full |
Positive Periodic Solutions of Second-Order Differential Equations with Delays |
| title_fullStr |
Positive Periodic Solutions of Second-Order Differential Equations with Delays |
| title_full_unstemmed |
Positive Periodic Solutions of Second-Order Differential Equations with Delays |
| title_sort |
positive periodic solutions of second-order differential equations with delays |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2012-01-01 |
| description |
The existence results of positive ω-periodic solutions
are obtained for the second-order differential equation with delays −u″+a(t)=f(t,u(t−τ1),...,u(t−τn)), where a∈C(ℝ,(0,∞)) is a ω-periodic function, f:ℝ×[0,∞)n→[0,∞) is a continuous function, which is ω-periodic in t, and τ1,τ2,...,τn are positive constants. Our discussion is based on the fixed point index theory in cones. |
| url |
http://dx.doi.org/10.1155/2012/829783 |
| work_keys_str_mv |
AT yongxiangli positiveperiodicsolutionsofsecondorderdifferentialequationswithdelays |
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