Difference Equation: An equation that relates successive values of a sequence or discrete function, serving as the counterpart to differential equations in discrete time.

Differential-difference equation: An equation that combines differential operators with difference operators, often used to model systems exhibiting both continuous change and discrete shifts.

Some equations are beautiful because they reveal unexpected relationships between different subjects. The Loewner differential equation, introduced by Charles Loewner in 1923, describes the time ...

The focus will be on first order quasilinear equations, and second order linear equations. The method of characteristics for solving first order quasilinear equations will be discussed. The three main ...

So, for those of us without a doctorate in Really Hard Math, differential equations are formulas that can describe the state of a system at various discrete points or steps throughout the process.