Fractal diffusion retrospective problems

Volume: 2 Number: 3 October 8, 2014
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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

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  5. J.V. Beck, V. Blackwell, C.R. Clair, Inverse Heat Conduction. Ill-Posed Problems , M, 1989, p. 312.
  6. V.K. Ivanov, V.V. Vasin, V.P. Tanana, Theory of linear ill-posed problems and its applications, M, 1978, p. 206.
  7. M.M. Lavrentev, Some ill-posed problems of mathematical physics, Novosibirsk, AN SSSR,1962, p. 92.
  8. A.N. Tikhonov, V. Ya. Arsenin, Methods of solution of ill-posed problems, M,1979, p. 288.

Details

Primary Language

English

Subjects

-

Journal Section

-

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