Article citationsMore>>

Gát, G. and Toledo, R. (2015) Estimating the Error of the Numerical Solution of Linear Differential Equations with Constant Coefficients via Walsh Polynomials. Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, 31, 309-330.

has been cited by the following article:

• TITLE: Finite Dimensional Approximation of the Monodromy Operator of a Periodic Delay Differential Equation with Piecewise Constant Orthonormal Functions

  AUTHORS: Eli A. Vazquez, Joaquin Collado

  KEYWORDS: Monodromy Operator, Periodic Delay Differential Equations, Walsh Functions, Block Pulse Functions, Finite Rank Approximation

  JOURNAL NAME: Applied Mathematics, Vol.9 No.11, November 30, 2018

  ABSTRACT: Using piecewise constant orthonormal functions, an approximation of the monodromy operator of a Linear Periodic Delay Differential Equation (PDDE) is obtained by approximating the integral equation corresponding to the PDDE as a linear operator over the space of initial conditions. This approximation allows us to consider the state space as finite dimensional resulting in a finite matrix approximation whose spectrum converges to the spectrum of the monodromy operator.