This volume looks at themes including: calculus of variations;
nonlinear mechanics and ergodic theory; and approximation and
asymptotics. The Krylov-Bogolubov method of averaging forms the
crux of the papers included in this volume, and numerous examples
of its applications are given. Bogolubov later returns to this
topic to prove the existence of quasi-periodic solutions of certain
mechanical systems whose number of degrees of freedom is more than
one.
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