The paper is devoted to non-homogeneous second-order differential equations with polynomial right parts and polynomial coefficients. We derive estimates for the partial sums and products of the zeros of solutions to the considered equations. These estimates give us bounds for the function counting the zeros of solutions and information about the zero-free domains.
Michael Gil'
. Inequalities for Sums and Products of Complex Zeros of Solutions to ODE with Polynomial Right Parts[J]. Communications on Applied Mathematics and Computation, 2023
, 5(4)
: 1524
-1533
.
DOI: 10.1007/s42967-022-00219-9
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