Nonlinear Second Order Delay Dynamic Equations on Time Scales: New Oscillatory Criteria

• Said R. Grace ^[1] ; G. N. Chhatria ^[2] ; Syed Abbas ^[3]
  1. [1] Cairo University

     Cairo University

     Egipto

     
  2. [2] Sambalpur University

     Sambalpur University

     India

     
  3. [3] Indian Institute of Technology

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 3, 2023
• Idioma: inglés
• DOI: 10.1007/s12346-023-00800-4
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• Resumen

  • In the paper, we present some new oscillation results for the second order nonlinear delay dynamic equation of the form r(θ )(z(θ ))α + q(θ )zν (ω(θ )) = 0 for θ ∈ T0 = [θ0,∞) ∩ T.

    We derive new monotonic properties of the nonoscillatory solutions and utilizing them to linearize the considered equation. The presented results are verified by some illustrative examples.

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