The distribution of zeros of solutions for a class of third order differential equation
Author
Cesarano, Clemente
Arahet, Mohammed A.
Al-Shami, Tareq M.
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/400210.22199/issn.0717-6279-4002
Abstract
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.