This is the first part of a two course graduate sequence in analytical methods to solve ordinary and partial differential equations of mathematical physics. Review of Advanced ODE’s including power ...

Eigenvalue optimisation problems involve identifying design or material configurations that either maximise or minimise the eigenvalues associated with differential operators under given boundary ...

This is a preview. Log in through your library . Abstract New error estimates for eigenvalues of symmetric integral equations are obtained. These estimates are ...

It is well-known that the radial component of a Dirichlet eigenfunction of an odd dimensional spherical cap is a rational function of finitely many trigonometric functions. More consideration shows ...