Fourier Method for Partial Differential Equations with Piecewise Continuous Delay

摘要

In the paper 'The Fourier Method for Partial Differential Equations withPiecewise Continuous Delay', by J. Wiener and L. Debnath (Contemporary Mathematics, Vol. 129 (1992), 241-263), separation of variables is justified for general classes of PDE with piecewise continuous delay, which enables us to find the solutions of appropriate boundary value problems and to investigate their asymptotic and oscillatory properties. Partial Differential Equation, Piecewise Constant Delay, Fourier Method, Hilbert Space.