Oscillation of Noncanonical Second-Order Functional Differential Equations via Canonical Transformation

• K. Saranya ^[1] ; V. Piramanantham ^[1] ; E. Thandapani ^[2] ; J. Alzabut ^[3]
  1. [1] Bharathidasan University

     Bharathidasan University

     India

     
  2. [2] University of Madras

     University of Madras

     India

     
  3. [3] Prince Sultan University & OST˙IM Technical University

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 3, 2022
• Idioma: inglés
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• Resumen

  • The oscillatory properties of solutions to the second order functional differential equation Lx(t) + f (t)xβ(σ (t)) = 0, t ≥ t0 > 0 where Lx(t) = (η(t)x (t)) is a noncanonical operator, are studied. The main idea is to transform the noncanonical equation into canonical form which simplifies the investigation of oscillation of the equation. The obtained criteria are new and complement to the existing results reported in the literature. Examples illustrating the main results are presented.