The initial value problem of the Korteweg-de Vries (KdV) equation posted on the real line R: ut + uux + uxxx = 0, x R, t R u(x, 0) = (x), defines a nonlinear map KR from the ...
We propose algorithms for the computation of the first N terms of a vector (or a full basis) of power series solutions of a linear system of differential equations at an ordinary ...
We investigate the numerical solution of large-scale Lyapunov equations with the sign function method. Replacing the usual matrix inversion, addition, and multiplication by format...
Abstract. Analog of Grobman-Hartman theorem about stable and unstable manifolds solutions for differential equations in Banach spaces with degenerate Fredholm operator at the deri...