Galoitica: Journal of Mathematical Structures and Applications
Journal DOI
2834-5568ISSN (Online)
Volume 8 , Issue 2 , PP: 29-33, 2023 | Cite this article as | XML | Html | PDF | Full Length Article
Rashel Abu Hakmeh 1 *
Doi: https://doi.org/10.54216/GJMSA.080203
This research studies the deviation of the output signal from stationary state by calculating stationary factor in differential filter with constant and non-stochastic coefficients, a stationary process is applied on its input. We show that this deviation is related to the degree of transformation the study range length and the form of a correlation function of the process applied on the input and the special solution of the equation LY=X and its correlation or un-correlation with that process.
Differential operator , stationary process , stable process , linear
[1] LIVSIC M. S. , IANCEWICH A. A. Theory of operator colligation in Hilbert Space, J. Wiley N.Y, 1979.
[2] NIEMI N. On the linear pre diction problem of certain non-stationary Scand. 1976. 39 p 146-160.
[3] RAZANOV, J. A., Stationary Random processes. Femmagist, Moscow 1963; English Transl., Holden-Day, Sanfracisco, California,1967. MR28. N2580, N 4985.
[4] KAMENSKI, M.; PERGAMECHTCHIKOV, S.; QUINCAMPO, M. Second order differential equation with random perturbations and small parameters, CUP, 2017, 147, pp.763-779.
[5] WIJEWARDENA, K; GAMALATH, L. Introduction to green functions in physics, Alpha Science ,2019.
[6] Jouja Ghada - About Unstoppable Sequences in Hilbert Space - Indicator of Unstoppable Limits - Jamia Journal - Al al-Bayt University - Amman - Jordan for the year 2004.
[7] Корен Г. ,курен Т. ;справочник по математике издание пятое москква «Наука» 1984.
