Approximation of sums of oscillating summands in certain physical problems
作者： Ekatherina A. Karatsuba
DOI: 10.1063/1.1797552
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摘要: The motion of a one-dimensional harmonic oscillator caused by recurring pushes in the absence friction is considered. In particular, two cases are studied: case when become more frequent and other one less frequent. By means an application Hardy–Littlewood–Vinogradov–Van der Corput theorem on approximation exponential sums shorter ones, new asymptotic formulas for solution problem obtained.
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