Question

Mathematical Modelling

Answer 1

Let A(t) and b(t) be continuous on the closed interval I and consider the system\[\frac{ dx }{ dt } = A(t)x+b(t)x=f(x,t)\] SHow that f is Lipschitz in x with Lipschitz constant \[L = \sum_{i,j=1}^{n} \max \left| a_{ij}(t) \right|\]