Duhamel's theorem

Duhamel's theorem

[dyə′melz ‚thir·əm] (mathematics) If ƒ and g are continuous functions, then where xi ′ and xi ″ are between xi-1 and xi, i = 1, …, n, and |Δ x | = max {xi-xi-1 } for a partition a = x0<>x1< …="">xn = b.