Positive Periodic Solutions of Third-Order Ordinary Differential Equations with Delays
The existence results of positive ω-periodic solutions are obtained for the third-order ordinary differential equation with delays u′′′(t)+a(t)u(t)=f(t,u(t-τ0),u′(t-τ1),u′′(t-τ2)),t∈ℝ, where a∈C(ℝ,(0,∞)) is ω-periodic function and f:ℝ×[0,∞)×ℝ2→[0,∞) is a continuous function which is ω-periodic in t,...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/547683 |
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| Summary: | The existence results of positive ω-periodic solutions are obtained for the third-order ordinary differential equation with delays u′′′(t)+a(t)u(t)=f(t,u(t-τ0),u′(t-τ1),u′′(t-τ2)),t∈ℝ, where a∈C(ℝ,(0,∞)) is ω-periodic function and f:ℝ×[0,∞)×ℝ2→[0,∞) is a continuous function which is ω-periodic in t,and τ0,τ1,τ2
are positive constants. The discussion is based on the fixed-point index theory in cones. |
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| ISSN: | 1085-3375 1687-0409 |