Approximation of sums of oscillating summands in certain physical problems

Autor:	Ekatherina A. Karatsuba
Rok vydání:	2004
Předmět:	Linear differential equation Differential equation Mathematics::Number Theory Ordinary differential equation Mathematical analysis Motion (geometry) Statistical and Nonlinear Physics Mathematical Physics Harmonic oscillator Exponential function Mathematics
Zdroj:	Journal of Mathematical Physics. 45:4310-4321
ISSN:	1089-7658 0022-2488
DOI:	10.1063/1.1797552
Popis:	The motion of a one-dimensional harmonic oscillator caused by recurring pushes in the absence of friction is considered. In particular, two cases are studied: the case when the pushes become more frequent and the other one when the pushes become less frequent. By means of an application of the Hardy–Littlewood–Vinogradov–Van der Corput theorem on the approximation of exponential sums by shorter ones, new asymptotic formulas for the solution of the problem are obtained.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7417ec095834e1eb820933b7325752b3 https://doi.org/10.1063/1.1797552 Zobrazit plný text záznamu