Transform Analysis for Linear and Nonlinear Systems

The purpose of this talk is twofold. The first is to understand the philosophy of the Laplace Transform which means going beyond the standard definitions. The second one of considerable importance consists of motivating work suitable for PhD level research. During this presentation Multidimensional Analysis of the Laplace Transform will be discussed in the solution of partial differential equations (linear) and nonlinear differential equations. In the latter we will present the iseas surrounding extensive research which was carried out at the Research Electronic Laboratory of the Massachusetts Institute of Technology, as well as the contributions of individual research made by professionals in this area.