Distribution of zeros of solutions of self-adjoint fourth order differential equations

Publication date: 2014 Source:Egyptian Journal of Basic and Applied Sciences, Volume 1, Issue 1 Author(s): S.H. Saker , Donal O'Regan In this paper, for self-adjoint fourth order differential equations, we establish some lower bounds on the distance between zeros of a nontrivial solution and also lower bounds on the distance between zeros of a solution and/or its derivatives. We also give new results related to boundary value problems which arise in the bending of rods. The main results will be proved by making use of some generalizations of Hardy, Opial and Wirtinger type inequalities.

Source: Egyptian Journal of Basic and Applied Sciences - November 1, 2014 Category: Science Source Type: research