The problem of kernel determination from viscoelasticity system integro-differential equations for homogeneous anisotropic media
https://doi.org/10.17586/2220-8054-2016-7-3-405-409
Abstract
We consider the problem of reconstructing the time-dependent history of the viscoelasticity medium from the viscoelasticity system of equations for an homogeneous anisotropic medium. As additional information, the Fourier image of the displacement vector for values ν = ν0 6= 0 of transformation parameter is given. It is shown that if the given functions satisfy some conditions of agreement and smoothness, the solution for the posed problem is uniquely defined in the class of a continuous functions and it continuously depends on given functions.
About the Authors
D. K. Durdiev
Bukhara State University
Uzbekistan
Uzbekistan
Bukhara
U. D. Durdiev
Kazan Federal University
Russian Federation
Russian Federation
Kazan
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Review
For citations:
Durdiev D.K., Durdiev U.D. The problem of kernel determination from viscoelasticity system integro-differential equations for homogeneous anisotropic media. Nanosystems: Physics, Chemistry, Mathematics. 2016;7(3):405-409. https://doi.org/10.17586/2220-8054-2016-7-3-405-409
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