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 The main results of this paper will be proved by employing some Hardy’s and Opial’s type inequalities.

Keywords

• third-order differential equations
• opial and hardy inequalities