FUNCTIONAL DIFFERENTIAL EQUATIONS,
BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS
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The class includes some difference equations, differential-difference equations as well as retarded functional differential equations that is, those systems in which the derivative of the state of the system at a given time depends only upon the state of the system for previous values of time. If the solutions of the system have enough smoothness properties, then they satisfy equations for which the derivative of the state at a given time depend both upon the state and the derivative of the state for previous values of time that is, neutral functional differential equations. The advantage in the approach seems to be the unification that is provided as well as the fact that a geometric theory becomes more feasible.
- Theoretical Mathematics