On the solvability of nonlocal problems for elliptic systems in infinite angles

The solution of nonlocal problems for elliptic systems in infinite systems is presented. The nonlocal problems can have power singularities in the case of a straight angles also, hence the problems are considered in weighted spaces that are introduced for the investigation of elliptic problems in domains with angles and edges. The local parts of boundary operators are assumed to satisfy the normal condition. An another system of differential equations is considered with the nonlocal boundary conditions that are related to the vector-valued functions.

Authors
Number of issue
1
Language
English
Pages
67-70
Status
Published
Volume
75
Year
2007
Organizations
  • 1 Peoples' Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
Keywords
Boundary conditions; Differential equations; Functions; Mathematical operators; Nonlinear systems; Vectors; Boundary operators; Elliptic problems; Problem solving
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Shevelev O.A., Khodorovich N.A., Zav'yalov A.V., Privalova I.L.
Bulletin of Experimental Biology and Medicine. New York Consultants BureauSpringer / Автономная некоммерческая организация Издательство Российской академии медицинских наук. Vol. 143. 2007. P. 191-193