Sums of zeros of solutions to second order ODE with non-polynomial coefficients
We consider the equation $y''=F(z)y$ ($zinmathbb{C}$) with an entire function $F$ satisfying the condition $$ |F(z)|le A exp ig(frac{|z|^ho}{ho}ig)quad (hoge 1,; A=ext{const}>0). $$ Let $z_k(y)$, $k=1, 2, dots $ be the zeros of a solution $y(z)$ to the above equation. Bounds for t...
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| Format: | Article |
| Language: | English |
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Texas State University
2012-06-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/107/abstr.html |