Retarded Differential Equations

Retarded differential equations are mathematical models that describe systems where the current rate of change depends not only on the current state but also on past states. They incorporate delays to account for effects that take time to influence the system, such as feedback mechanisms or transportation lags. These equations are useful in fields like biology, engineering, and economics, where processes do not respond instantaneously but with some delay, allowing for more accurate modeling of real-world dynamic systems.