Analytical solutions of systems of linear retarded and neutral delay differential equations by the Laplace transform: featuring limit cycles
Gilbert Kerr,
Nehemiah Lopez,
Gilberto Gonzalez-Parra
Abstract:In this paper we develop an approach for obtaining the solutions to systems of linear retarded and neutral delay differential equations. Our analytical approach is based on the Laplace transform, inverse Laplace transform and the Cauchy residue theorem. The obtained solutions have the form of infinite non-harmonic Fourier series. The main advantage of the proposed approach is the closed-form of the solutions, which are capable of accurately evaluating the solution at any time. Moreover, it allows one to study … Show more
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