On some contact problems for bodies with elastic inclusions.
Shavlakadze, N. (1998)
Georgian Mathematical Journal
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Shavlakadze, N. (1998)
Georgian Mathematical Journal
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Georgian Mathematical Journal
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Fractional Calculus and Applied Analysis
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MSC 2010: 44A35, 35L20, 35J05, 35J25 In this paper are found explicit solutions of four nonlocal boundary value problems for Laplace, heat and wave equations, with Bitsadze-Samarskii constraints based on non-classical one-dimensional convolutions. In fact, each explicit solution may be considered as a way for effective summation of a solution in the form of nonharmonic Fourier sine-expansion. Each explicit solution, may be used for numerical calculation of the solutions too. ...