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

  • Moussadek Remili University of Oran 1.
  • Mebrouk Rahmane University of Oran 1.
Palabras clave: Boundedness, stability, Lyapunov functional, fourth-order differential equations, square integrable, acotamiento, estabilidad, funcional de Lyapunov, ecuaciones diferenciales de cuarto orden, función de cuadrado integrable.

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.

Biografía del autor

Moussadek Remili, University of Oran 1.
Department of Mathematics.
Mebrouk Rahmane, University of Oran 1.
Department of Mathematics.

Citas

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Publicado
2017-03-23
Cómo citar
Remili, M., & Rahmane, M. (2017). Sufficient conditions for the boundedness and square integrability of Solutions of fourth-order differential equations. Proyecciones. Journal of Mathematics, 35(1), 41-61. https://doi.org/10.4067/S0716-09172016000100004
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