Mathematical Modeling and Stability Analysis of Delay Differential Equations

@inproceedings{Ahsan2015MathematicalMA,
  title={Mathematical Modeling and Stability Analysis of Delay Differential Equations},
  author={Zaid Ahsan},
  year={2015}
}
Finite-dimensional approximations are developed for retarded delay differential equations (DDEs). The DDE system is equivalently posed as an initial–boundary value problem consisting of hyperbolic partial differential equations (PDEs). By exploting the equivalence of partial derivatives in space and time, we develop a new PDE representation for the DDEs that is devoid of boundary conditions. The resulting boundary condition–free PDEs are discretized using the Galerkin method with Legendre… CONTINUE READING