EN
TR
Fractal diffusion retrospective problems
Abstract
In this article we study the retrospective inverse problem. The retrospective inverse problem consists of in the reconstruction of a priori unknown initial condition of the dynamic system from its known final condition. Existence and uniqueness of the solution is proved.
Keywords
References
- F.M. Mors, G. Fishbah, Methods of theoretical physics, 1958.
- Yaremko, O.E. Matrix integral Fourier transforms for problems with discontinuous coefficients and transformation operators (2007) Doklady Mathematics, 76 (3), pp. 323-325.
- O.M. Alifanov, Inverse problems of heat exchange, M, 1988, p. 279.
- O.M. Alifanov, B.A. Artyukhin, S.V. Rumyancev, The extreme methods of solution of ill-posed problems, M, 1988, p. 288.
- J.V. Beck, V. Blackwell, C.R. Clair, Inverse Heat Conduction. Ill-Posed Problems , M, 1989, p. 312.
- V.K. Ivanov, V.V. Vasin, V.P. Tanana, Theory of linear ill-posed problems and its applications, M, 1978, p. 206.
- M.M. Lavrentev, Some ill-posed problems of mathematical physics, Novosibirsk, AN SSSR,1962, p. 92.
- A.N. Tikhonov, V. Ya. Arsenin, Methods of solution of ill-posed problems, M,1979, p. 288.
Details
Primary Language
English
Subjects
-
Journal Section
-
Authors
Publication Date
October 8, 2014
Submission Date
October 6, 2013
Acceptance Date
-
Published in Issue
Year 2014 Volume: 2 Number: 3
APA
Yaremko, O. (2014). Fractal diffusion retrospective problems. International Journal of Applied Mathematics Electronics and Computers, 2(3), 9-14. https://doi.org/10.18100/ijamec.31655
AMA
1.Yaremko O. Fractal diffusion retrospective problems. International Journal of Applied Mathematics Electronics and Computers. 2014;2(3):9-14. doi:10.18100/ijamec.31655
Chicago
Yaremko, Oleg. 2014. “Fractal Diffusion Retrospective Problems”. International Journal of Applied Mathematics Electronics and Computers 2 (3): 9-14. https://doi.org/10.18100/ijamec.31655.
EndNote
Yaremko O (October 1, 2014) Fractal diffusion retrospective problems. International Journal of Applied Mathematics Electronics and Computers 2 3 9–14.
IEEE
[1]O. Yaremko, “Fractal diffusion retrospective problems”, International Journal of Applied Mathematics Electronics and Computers, vol. 2, no. 3, pp. 9–14, Oct. 2014, doi: 10.18100/ijamec.31655.
ISNAD
Yaremko, Oleg. “Fractal Diffusion Retrospective Problems”. International Journal of Applied Mathematics Electronics and Computers 2/3 (October 1, 2014): 9-14. https://doi.org/10.18100/ijamec.31655.
JAMA
1.Yaremko O. Fractal diffusion retrospective problems. International Journal of Applied Mathematics Electronics and Computers. 2014;2:9–14.
MLA
Yaremko, Oleg. “Fractal Diffusion Retrospective Problems”. International Journal of Applied Mathematics Electronics and Computers, vol. 2, no. 3, Oct. 2014, pp. 9-14, doi:10.18100/ijamec.31655.
Vancouver
1.Oleg Yaremko. Fractal diffusion retrospective problems. International Journal of Applied Mathematics Electronics and Computers. 2014 Oct. 1;2(3):9-14. doi:10.18100/ijamec.31655