8. Essentially Nonlinear Systems

Abstract

As above, ∥ . ∥ is the Euclidean norm and Ω (r) is the ball in Cⁿ with a radius r ≤ ∞ and with the center at zero. Let $\displaystyle B(h,t)=(b_{jk}(h,t))^n_{j,k=1}$ be an n × n-matrix for every h∈ Ω (r) and t≥ 0. Everywhere below it is assumed that B (h,t) continuously depends on h∈Ω (r) and t≥ 0.