Oscillatory behavior of third-order nonlinear delay dynamic equations on time scales

• Autores: Li Gao, Quanxin Zhang, Shouhua Liu
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 256, Nº 1, 2014, págs. 104-113
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.07.024
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• Resumen

  • In this paper, a class of third-order nonlinear delay dynamic equations on time scales is studied. By using the generalized Riccati transformation and the integral averaging technique, three new sufficient conditions which ensure that every solution is oscillatory or converges to zero are established. The results obtained essentially generalize and improve earlier ones.