Abstract
We consider the equation u″ = P(z)u + F(z) (z ∈ ℂ), where P(z) is a polynomial and F(z) is an entire function. Let zk(u) (k = 1,2,⋯) be the zeros of a solution u(z) to that equation. Lower estimates for the products Πk=1j | zk(u) | (j = 1,2,⋯) 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.
Original language | English |
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Article number | 690519 |
Journal | International Journal of Differential Equations |
Volume | 2015 |
DOIs | |
State | Published - 1 Jan 2015 |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics