Stability, boundedness and periodic solutions to certain second order delay differential equations.

• Autores: A. T. Ademola, Peter Olutola Arawomo, A. S. Idowu
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 36, Nº. 2, 2017, págs. 257-282
• Idioma: inglés
• DOI: 10.4067/S0716-09172017000200257
• Enlaces
  • Texto completo
• Resumen

  • Stability, boundedness and existence of a unique periodic solution to certain second order nonlinear delay differential equations is discussed. By employing Lyapunov's direct (or second) method, a complete Lyapunov functional is constructed and used to establish sufficient conditions, on the nonlinear terms, that guarantee uniform asymptotic stability, uniform ultimate boundedness and existence of a unique periodic solution. Obtained results complement many outstanding recent results in the literature. Finally, examples are given to show the effectiveness of our method and correctness of our results.

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