For third order linear differential equations of the form(r(t)x0(t))00+p(t)x0(t) +q(t)x(t) = 0,we will establish lower bounds for the distance between zeros of a solu-tion and/or its derivatives. The main results will be proved by makinguse of Hardy’s inequality, some generalizations of Opial’s inequalityand Boyd’s inequality.
The distribution of zeros of solutions for a classof third order differential equation
Cesarano C;
2021-01-01
Abstract
For third order linear differential equations of the form(r(t)x0(t))00+p(t)x0(t) +q(t)x(t) = 0,we will establish lower bounds for the distance between zeros of a solu-tion and/or its derivatives. The main results will be proved by makinguse of Hardy’s inequality, some generalizations of Opial’s inequalityand Boyd’s inequality.File in questo prodotto:
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