Английская Википедия:Forcing function (differential equations)

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Шаблон:Short description Шаблон:About In a system of differential equations used to describe a time-dependent process, a forcing function is a function that appears in the equations and is only a function of time, and not of any of the other variables.[1][2] In effect, it is a constant for each value of t.

In the more general case, any nonhomogeneous source function in any variable can be described as a forcing function, and the resulting solution can often be determined using a superposition of linear combinations of the homogeneous solutions and the forcing term.[3]

For example, <math>f(t)</math> is the forcing function in the nonhomogeneous, second-order, ordinary differential equation: <math display="block">ay + by' + cy = f(t)</math>

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