Open AccessA PROBLEM WITH DISPLACEMENTS IN THE BOUNDARY CONDITIONS
Author(s) -
Е. А. Уткина
Publication year - 2011
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2011-17-8-102-107
Subject(s) - a priori and a posteriori , mathematics , domain (mathematical analysis) , fredholm integral equation , mathematical analysis , boundary value problem , function (biology) , boundary (topology) , hyperbolic partial differential equation , integral equation , partial differential equation , philosophy , epistemology , evolutionary biology , biology
A problem with conditions relating to the values of an unknown function on the opposite sides of a rectangular characteristiс domain D for a linear hyperbolic equations is considered. This problem is reduced to the system of Fredholm equations of the second kind. The proof of solvability is based on the a priori estimates of additional conditions on the coefficients of the equation.