Date of Award
Doctor of Philosophy (PhD)
We introduce several systems of nonlinear difference -differential equations and prove oscillation and global ratio limit theorems for some of them. These systems can be interpreted as a learning theory, or alternatively as a nonstationary prediction theory whose goal is to discuss the prediction of individual events, in a fixed order, and at prescribed times. They can also be interpreted as cross-correlated flows on networks, or as deformations of a probabilistic graph.
Grossberg, Stephen, "Some Nonlinear Networks Suggested by Learning Theory" (1967). Student Theses and Dissertations. 561.