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Sufficient close-to-necessary Condition for the existence of homoclinic orbits, and applications
  • Taib Talbi,
  • Abderrazek Benhassine,
  • Saida Farhani
Taib Talbi
Faculty of Sciences of Sfax, Tunisia

Corresponding Author:[email protected]

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Abderrazek Benhassine
Higher Institute of Informatics and Mathematics, 5000 Monastir, TUNISIA.
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Saida Farhani
University of Sfax Faculty of Sciences of Sfax
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Abstract

In this paper, we give a general and weak sufficient condition to guaranteeing the existence and infinite homoclinic solutions for some classes of differential equations, in particular for a class of Hamiltonian systems. We illustrate our main theoretical results by an application.