Nonlinear Volterra equations

Nonlinear Volterra equations are a type of mathematical model used to describe systems where the current state depends on its past behavior, integrating effects over time. "Nonlinear" means the relationship isn't proportional or straightforward, often involving complex interactions. These equations are used in fields like ecology, economics, and engineering to model phenomena such as population dynamics or systems with memory. They capture how past influences combine in a non-simple way to determine the present, making them essential for understanding complex, time-dependent processes where history matters.