The distribution of zeros of solutions for a class of third order differential equation
DOI:
https://doi.org/10.22199/issn.0717-6279-4002Keywords:
Third order differential equations, Opial and Hardy inequalitiesAbstract
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.
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