Asymptotic analysis of mathematical expectation of the total energy of a harmonic oscillator perturbed by the ``shot-noise-type process

DOI10.1007/s10958-014-2142-2zbMath1339.60077OpenAlexW2090535973MaRDI QIDQ2258307

O. D. Stetsyuk

Publication date: 3 March 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-2142-2

zbMATH Keywords

asymptotic analysisharmonic oscillatorshot-noise-type process

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Limit theorems in probability theory (60F99)

Cites Work

• Asymptotic analysis of the mathematical expectation of the total energy of a harmonic oscillator under random pulse perturbation
• On the limiting behavior of a harmonic oscillator with random external disturbance
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