This article is cited in 8 papers

On a method of solving equations with simple characteristics

B. Yu. Sternin, V. E. Shatalov


Abstract: This paper is devoted to the construction of $k$-differential equations for large values of the parameter $k$. The authors develop a method permitting one to construct solutions of such equations in the space $\mathbf R^n$, with limiting absorption conditions. Together with the ideas of Legendre uniformization, the method allows one to construct solutions of boundary value problems for equations of the type under consideration.
Bibliography: 30 titles.

UDC: 517.9

MSC: Primary 35S15, 35A30; Secondary 35B40, 78A45

Received: 15.12.1980

 English version: Mathematics of the USSR-Sbornik, 1983, 44:1, 23–59

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