A theorem concerning nonradial oscillations

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Approximation, Eigenvalues, Oscillations, Theorems, Astrophysics, Boundary Value Problems, Nonlinear Equations

Scientific paper

It is known from numerical results that the modulus of the eigenvalues of nonradial oscillations is an increasing function of the degree of the mode for a given order. This result has previously been verified by other authors for asymptotic modes. A rigorous demonstration of this point is given here for nonasymptotic modes in the framework of Cowling's approximation.

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