Oscillation criteria for general third-order delay dynamic equations

• S. R. Grace ^[1] ; I. Jadlovská ^[2] ; G. N. Chhatria ^[3]
  1. [1] Cairo University

     Cairo University

     Egipto

     
  2. [2] Slovak Academy of Sciences

     Slovak Academy of Sciences

     Eslovaquia

     
  3. [3] Vignan’s Foundation for Science, Technology and Research (Deemed to be University)

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 3, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • The goal of this work is to establish new criteria for oscillation of all solutions to a general third-order functional dynamic equation on time scales of the form r2(ν) r1(ν) y(ν)α1 α2 + q(ν)yβ(τ (ν)) = 0.

    The used approach mainly employs comparison principles with first-order dynamic equations and the Riccati-type substitution technique. The results are illustrated by three examples.

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