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Baire classes of functions and Lyapunov indices. III. (English. Russian original) Zbl 0541.34027

Differ. Equations 16, 1144-1157 (1981); translation from Differ. Uravn. 16, 1766-1785 (1980).
In this part the results of part I [ibid. 16, 1408-1417 (1980; Zbl 0487.34046)] are applied to several classes of nonlinear systems of differential equations and nonlinear diffeomorphisms. The last section can be read independently without parts I and II [ibid. 16, 1587-1598 (1980; Zbl 0487.34047)].

MSC:

37-XX Dynamical systems and ergodic theory
34D20 Stability of solutions to ordinary differential equations
55R99 Fiber spaces and bundles in algebraic topology