Gaps Between Zeros of Solutions for a Certain Class of Third-Order Differential Equations

Abstract

In this paper, we establish some lower bounds for the distance between zeros of nontrivial solutions or/and their derivatives and extend some results about distribution of zeros for a certain class of third-order differential equations of the form (Formula presented.) The main results of this paper will be proved by employing some Hardy’s and Opial’s type inequalities. © 2019, © 2019 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group on behalf of the University of Bahrain.