The distribution of zeros of solutions for a class of third order differential equation

• Cesarano, Clemente ^[2] ; Arahet, Mohammed A. ^[1] ; Al-Shami, Tareq M.
  1. [1] Amran University

     Amran University

     Yemen

     
  2. [2] International Telematic University UNINETTUNO.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 5, 2021, págs. 1301-1321
• Idioma: inglés
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• Resumen

  • For third order linear differential equations of the form r(t)x'(t)''+ p(t)x'(t) + q(t)x(t) = 0;we will establish lower bounds for the distance between zeros of a solution and/or its derivatives. The main results will be proved by making use of Hardyís inequality, some generalizations of Opialís inequality and Boydís inequality.