Bounds for Products of Zeros of Solutions to Nonhomogeneous ODE with Polynomial Coefficients
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 ∏k=1j|zk(u)| (j=1,2,…) are derived. In particular, they give us a bound for the zero free...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2015/690519 |
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