About second mixed moment functions for solution of diffusion equation with random coefficients

I. Dubrovskiy

doi:10.12737/5120

ABOUT SECOND MIXED MOMENT FUNCTIONS FOR SOLUTION OF DIFFUSION EQUATION WITH RANDOM COEFFICIENTS About second mixed moment functions for solution of diffusion equation with random coefficients

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Published in Actual directions of scientific researches of the XXI century: theory and practice · Volume 2, Issue 4, p. 2 · Pages 83–86 · Rubric: Section: Differential and Integral Equations

DOI: https://doi.org/10.12737/5120

Received: 29.08.2014 Accepted: 03.10.2014 Published: 03.10.2014 Language of publication: RUS

Authors

I. Dubrovskiy

ABSTRACT

Cauchy problem for two-dimensional differential equation of second order is considered. Coefficients of the equation are random processes, which don’t depend on random initial condition. We obtain formula for the second mixed moment function for the solution of considered problem in general case and in the case of independent random coefficients also.

KEYWORDS

diffusion equation, random process, moment function, variational derivative

Text

Рассматривается задача Коши для линейного дифференциального уравнения второго порядка со случайными коэффициентами.

1. Zadorozhniy V.G. Metody variatsionnogo analiza / V.G. Zadorozhniy, RKhD, M.-Izhevsk, - 2006, 316 s.

2. Dubrovskiy I.O. O matematicheskom ozhidanii resheniya dvumernogo uravneniya diffuzii/ I.O. Dubrovskiy, V.G. Zadorozhniy. Aktual´nye problemy prikladnoy matematiki, informatiki i mekhaniki: sb. nauch. tr. - Voronezh, 2009. - S. 174-177.

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GOST

Dubrovskiy I. About second mixed moment functions for solution of diffusion equation with random coefficients // Actual directions of scientific researches of the XXI century: theory and practice. 2014. no. 4. pp. 83-86. DOI: https://doi.org/10.12737/5120. (Date of access 19.10.2026).

MLA

I. Dubrovskiy. "About second mixed moment functions for solution of diffusion equation with random coefficients." Actual directions of scientific researches of the XXI century: theory and practice 2.4 (2014): 83-86. DOI: https://doi.org/10.12737/5120.

APA

Dubrovskiy I. (2014). About second mixed moment functions for solution of diffusion equation with random coefficients. Actual directions of scientific researches of the XXI century: theory and practice, 2(4), 83-86. https://doi.org/10.12737/5120

Chicago

I. Dubrovskiy. "About second mixed moment functions for solution of diffusion equation with random coefficients." Actual directions of scientific researches of the XXI century: theory and practice 2, no. 4 (2014): 83-86. https://doi.org/10.12737/5120.

WIKI

{{cite journal | author = Dubrovskiy I. | title = About second mixed moment functions for solution of diffusion equation with random coefficients | journal = Actual directions of scientific researches of the XXI century: theory and practice | year = 2014 | volume = 2 | issue = 4 | pages = 83-86 | doi = 10.12737/5120 }}

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ABOUT SECOND MIXED MOMENT FUNCTIONS FOR SOLUTION OF DIFFUSION EQUATION WITH RANDOM COEFFICIENTS About second mixed moment functions for solution of diffusion equation with random coefficients

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