In this course, we will be dealing primarily with linear systems, a special class of systems for which a great deal is known. During the first half of the twentieth century, linear systems were analyzed using frequency domain (e.g., Laplace and z-transform) based approaches in an effort to deal with issues such as noise and bandwidth issues in communication systems. While they provided a great ...

In previous work, we considered a four-quadrant Riemann problem for 2×2 hyperbolic system in which delta shock appears at the initial discontinuity without assuming that each jump of data projects exactly one plane elementary wave. this paper, consider case does not involve discontinuity. We classified 18 topologically distinct solutions and constructed analytic numerical case. The show rich st...