Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4663902 | Acta Mathematica Scientia | 2012 | 10 Pages |
Abstract
Let P (z) and P˜(z) be polynomials of the same degree. We consider the equations u″ = P(z)u and u˜′′=P˜(z)u˜ (z∈ℂ) whose solutions are u(z) and u˜(z), respectively. Let zk (u) and zk(u˜),k=1,2,…, be the zeros of u(z) and u˜(z), respectively. We derive bounds for the quantity kinf|1zk(u)−1zj(u˜)|.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Michael Gil',