Abstract
By using the method of continuation with respect to a parameter and a priori estimates, we prove the unique regular solvability of a boundary value problem with nonlocal integral boundary conditions for a one-dimensional pseudoparabolic equation.
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Original Russian Text © N.S. Popov, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 3, pp. 359–372.
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Popov, N.S. Solvability of a boundary value problem for a pseudoparabolic equation with nonlocal integral conditions. Diff Equat 51, 362–375 (2015). https://doi.org/10.1134/S0012266115030076
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DOI: https://doi.org/10.1134/S0012266115030076