Existence of Almost Periodic Solutions to 𝑁th-Order Neutral Differential Equations with Piecewise Constant Arguments
We present some conditions for the existence and uniqueness of almost periodic solutions of 𝑁th-order neutral differential equations with piecewise constant arguments of the form (𝑥(𝑡)+𝑝𝑥(𝑡−1))(𝑁)=𝑞𝑥([𝑡])+𝑓(𝑡), here [⋅] is the greatest integer function, 𝑝 and 𝑞 are nonzero constants, 𝑁 is a positive...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/186361 |
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| Summary: | We present some conditions for the existence and uniqueness of almost periodic solutions
of 𝑁th-order neutral differential equations with piecewise constant arguments of the form (𝑥(𝑡)+𝑝𝑥(𝑡−1))(𝑁)=𝑞𝑥([𝑡])+𝑓(𝑡), here [⋅] is the greatest integer function, 𝑝 and 𝑞 are nonzero constants, 𝑁 is a positive integer, and 𝑓(𝑡) is almost periodic. |
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| ISSN: | 1085-3375 1687-0409 |