Ordinary Differential Equations and Dynamical Systems Vol2 · Problem 3.10

Nonautonomous Linear Systems

Mathematics — Calculus · reachable-set-inclusion

Problem

Using the notation from Definition 3.4, prove that if s<t1<t2s < t_1 < t_2, then U(t2,s)⊂U(t1,s)U(t_2, s) \subset U(t_1, s).

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