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Details for article 119 of 164 found articles
| Title: |
On the explicit determination of certain solutions of periodic differential equations |
| Author: |
Bank, Steven B. |
| Appeared in: |
Complex variables and elliptic equations |
| Paging: | Volume 23 (1993) nr. 1-2 pages 101-121 |
| Year: |
1993-10 |
| Contents: |
We consider the class of equations of the form (*)w'' + A(z)w = 0, where A(z) is a nonconstant entire periodic function (where, for convenience, we take the period to be 27φi), and where we assume that A(z) is a rational function of ez. The solutions of such equations are entire functions of infinite order of growth, but such equations can possess one or two linearly independent solutions each of whose zero-sequences has a finite exponent of convergence. In this paper, we develop a method which involves using only the simple technique of undetermined coefficients, which can test any equation (*) for the existence of a solution whose zero-sequence has a finite exponent of convergence. The method will also produce explicitly any such solution. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 119 of 164 found articles
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