In mathematics, Mathieu functions, sometimes called angular Mathieu functions, are solutions of Mathieu's differential equation. Definition · Other types of Mathieu functions · Properties |
| Функции Матьё |  |
Функции Матьё — математические специальные функции, являющиеся периодическими решениями уравнения Матьё.
Используются при решении различных задач математической физики, в частности,
при описании волнового движения с эллиптическими граничными... Википедия
The solution of the Mathieu equation corresponding to eigenvalue an (or bn) has n zeros on the interval 0 ≤ x < π (q is a real number). |
The differential equation d2x dt2. + (δ + cost) x = 0. (1) is called Mathieu's equation. It is a linear differential equation with variable (periodic) coeffi-. |
This work is concerned with Mathieu's equation—a classical differential equation, which has the form of a linear second-order ordinary differential equation ... |
The Mathieu functions are the solutions to the Mathieu differential equation (d^2V)/(dv^2)+[a-2qcos(2v)]V=0. (1) Even solutions are denoted C(a,q,v) and odd ... |
22 апр. 2020 г. · This approach has uncovered two linearly independent solutions to Mathie's equation, each of which is in closed form. |
20 мар. 2010 г. · Mathieu's equation (28.2.1) has a nontrivial solution w (z) such that iff e π i ν is an eigenvalue of the matrix. |
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