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Bounds for Products of Zeros of Solutions to Nonhomogeneous ODE with Polynomial Coefficients

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  • Michael Gil’

Abstract

We consider the equation , where is a polynomial and is an entire function. Let be the zeros of a solution to that equation. Lower estimates for the products are derived. In particular, they give us a bound for the zero free domain. Applications of the obtained estimates to the counting function of the zeros of solutions are also discussed.

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  • Michael Gil’, 2015. "Bounds for Products of Zeros of Solutions to Nonhomogeneous ODE with Polynomial Coefficients," International Journal of Differential Equations, Hindawi, vol. 2015, pages 1-6, November.
    • Handle: RePEc:hin:jnijde:690519
    DOI: 10.1155/2015/690519
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