Email this article On a Nonlocal Boundary Value Problem for a Third-Order Pseudo-Parabolic Equation
- Authors: Beshtokov M.H.1
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Affiliations:
- Kabardino-Balkarian State University
- Issue: Vol 27, No 1 (2016)
- Pages: 60-79
- Section: Article
- URL: https://journals.rcsi.science/1046-283X/article/view/247482
- DOI: https://doi.org/10.1007/s10598-015-9304-z
- ID: 247482
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Abstract
In this paper we consider a nonlocal boundary value problem for a third order pseudo-parabolic equation. For the solution of the problem a priori estimates in differential and difference settings are obtained. The obtained a priori estimates imply stability of the solution of the problem with respect to the initial data and with respect to the right-hand side on a layer as well as the convergence of the solution of the difference problem to that of the differential problem.
About the authors
M. H. Beshtokov
Kabardino-Balkarian State University
Author for correspondence.
Email: beshtokov_murat@rambler.ru
Russian Federation, 173 Chernyshevskogo Street, Nalchik, 360004
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