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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1977 Volume 103(145), Number 3(7), Pages 367–391 (Mi sm2821)

This article is cited in 19 papers

On general boundary value problems for differential equations with constant coefficients in a half-space

A. L. Pavlov


Abstract: Exact classes of uniqueness of the solutions are indicated for general boundary value problems in a half-space. Algebraic conditions sufficient for these problems to be well posed in classes much broader than those considered heretofore are adduced. The results are applied to the study of a mixed problem in a quarter-space in classes of increasing functions.
Bibliography: 18 titles.

UDC: 517.944

MSC: Primary 35G15; Secondary 42A68

Received: 11.03.1976


 English version:
Mathematics of the USSR-Sbornik, 1977, 32:3, 313–334

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© Steklov Math. Inst. of RAS, 2026