A note on complex oscillation theory

Abstract

For a broad class of equations of the form, w + A(z)w = 0, where A(z) is an entire function, we obtain precise estimates on the frequency of zeros of the solutions. The class treated contains many equations where A(z) is periodic, and, in particular, we obtain information on the frequency of zeros of solutions of various forms of Hill's equation.

Keywords:

• Frequency of zeros
• Hill's equation