| Autor: |
Deham Hafsia, Djoudi Ahcene |
| Jazyk: |
angličtina |
| Rok vydání: |
2010 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Differential Equations, Vol 2010, Iss 127,, Pp 1-8 (2010) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
We use a variation of Krasnoselskii fixed point theorem introduced by Burton to show that the nonlinear neutral differential equation $$ x'(t)=-a(t)x^3(t)+c(t)x'(t-g(t))+G(t,x^3(t-g(t)) $$ has a periodic solution. Since this equation is nonlinear, the variation of parameters can not be applied directly; we add and subtract a linear term to transform the differential into an equivalent integral equation suitable for applying a fixed point theorem. Our result is illustrated with an example. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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