Dirichlet problem in the non-classical treatment for one pseudoparabolic equation of fourth order

2012/12/26 by Ilgar G. Mamedov, Mamedov, Ilgar G.
Engineering · Mathematics · #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #Dynamical Systems (math.DS) #FOS: Mathematics #Geotechnical and Geomechanical Engineering

paper · pdf · doi:10.48550/arxiv.1212.6199

openalex publication_date 2012/12/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the paper the Dirichlet problem with non-classical conditions not requiring agreement conditions is considered for a fourth order pseudoparabolic equation with non-classical coefficients. The equivalence of these conditions with the classic boundary conditions is substantiated in the case if the solution of the stated problem is sought in S.L.Sobolev isotropic space.

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