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This article is cited in 4 scientific papers (total in 4 papers)
Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Equations of Mathematical Physics
The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics
A. A. Alikhanov Kabardino-Balkarian State University, Nalchik, 360004, Russia
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics is studied. A priori estimates for the solutions of the considered problems are obtained by using the method of energy inequalities. Uniqueness and continuous dependence of the solutions on the input data follow from these estimates.
Keywords:
nonlocal boundary value problem, equations of mathematical physics, a priori estimates for solutions.
Original article submitted 28/XII/2012 revision submitted – 12/II/2013
Citation:
A. A. Alikhanov, “The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 15–23
Linking options:
https://www.mathnet.ru/eng/vsgtu1218 https://www.mathnet.ru/eng/vsgtu/v130/p15
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