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Periodic solution of a certain non-linear third order differential equation

Mehri, B ; Sharif University of Technology | 2004

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  1. Type of Document: Article
  2. Publisher: Sharif University of Technology , 2004
  3. Abstract:
  4. In this paper, the third order differential equation x‴ + ψ (x′)x″ + (κ2 +ø (x))x′ + f(t, x = e(t) is considered. Under certain conditions on the functions appearing in the differential equation, the existence of periodic solutions is proved. Similar problems have been treated by authors in [4,6,7]. However, the method employed here is used by Reissig [1] and the results obtained are, in fact, a generalization of those in [1-3]. The conditions imposed on the nonlinear terms do not require the ultimate boundedness of all solutions. © Sharif University of Technology
  5. Keywords:
  6. Mathematical analysis ; Functions ; Problem solving
  7. Source: Scientia Iranica ; Volume 11, Issue 3 , 2004 , Pages 181-184 ; 10263098 (ISSN)
  8. URL: http://scientiairanica.sharif.edu/article_2548.html