W. T. Van Horssen, An Asymptotic Theory for a Class of Initial-Boundary Value Problems for Weakly Nonlinear Wave Equations with an Application to a Model of the Galloping Oscillations of Overhead ...

We consider the problem of filtering one-dimensional diffusions with nonlinear drift coefficients, transmitted through a nonlinear low noise channel. We construct an asymptotic solution to Zakai's ...

The study of spectral problems in conjunction with asymptotic analysis has provided profound insights into boundary value problems, where determining the eigenvalues and eigenfunctions of ...