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- Title
On the application of branched operator continued fractions for a boundary problem of linear viscoelasticity.
- Authors
Kaminsky, A.; Selivanov, M.
- Abstract
In solving linear viscoelastic problems for composite materials, the problem arises of representing a multivariable operator function. To resolve this problem, the method of operator continued fractions is generalized to the case of a multivariable operator function. The method is based on the theory of branched continued fractions. Branched operator continued fractions are considered. Using the convolution theorem, fractions can be represented in terms of operators of basic class. This representation makes it possible to effectively solve boundary problems of linear viscoelasticity
- Subjects
VOLTERRA operators; LINEAR operators; INTEGRAL operators; COMPOSITE materials; VISCOELASTIC materials; FRACTIONS; VISCOELASTICITY; MATHEMATICAL convolutions; CONTINUUM mechanics
- Publication
International Applied Mechanics, 2006, Vol 42, Issue 1, p115
- ISSN
1063-7095
- Publication type
Article
- DOI
10.1007/s10778-006-0066-3