Sufficient conditions for the boundedness and square integrability of Solutions of fourth-order differential equations

• Remili, Moussadek ^[1] ; Rahmane, Mebrouk ^[1]
  1. [1] University of Oran

     University of Oran

     Argelia

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 35, Nº. 1, 2016, págs. 45-61
• Idioma: inglés
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• Resumen

  • Sufficient conditions for the boundedness and square integrability of solutions and their derivatives of certain fourth order nonlin-ear differential equation are given by means of the Lyapunov’s second method. Our results obtained in this work, generalize existing results on fourth order nonlinear differential equations in the literature. For illustration, an example is also given.