Universal Journal of Computational Mathematics(CEASE PUBLICATION) Vol. 2(1), pp. 1 - 5
DOI: 10.13189/ujcmj.2014.020101
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Cauchy Problem in the Non-Classical Treatment for One Pseudoparabolic Equation

Ilgar G. Mamedov ^*
Institute of Cybernetics, Azerbaijan National Academy of Sciences, Az 1141, Azerbaijan, Baku, st. B. Vahabzade, 9

ABSTRACT

In the paper, we consider the Cauchy problem for a fifth order pseudoparabolic equation that appears in studying the issues of fluid filtration in fissured media, the moisture transfer in soils and etc. The Cauchy problem with non-classic conditions not requiring the agreement conditions are studied for a discontinuous coefficient pseudoparabolic equation. The equivalence of these conditions with the Cauchy classic condition is substantiated in the case when the solution of the stated problem is sought in S.L.Sobolev anisotropic space

KEYWORDS
Cauchy Problem, Pseudoparabolic Equation, Equations with Discontinuous Coefficients

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Ilgar G. Mamedov , "Cauchy Problem in the Non-Classical Treatment for One Pseudoparabolic Equation," Universal Journal of Computational Mathematics(CEASE PUBLICATION), Vol. 2, No. 1, pp. 1 - 5, 2014. DOI: 10.13189/ujcmj.2014.020101.

(b). APA Format:
Ilgar G. Mamedov (2014). Cauchy Problem in the Non-Classical Treatment for One Pseudoparabolic Equation. Universal Journal of Computational Mathematics(CEASE PUBLICATION), 2(1), 1 - 5. DOI: 10.13189/ujcmj.2014.020101.