This article is cited in 3 papers

Asymptotic distribution of eigenvalues of differential equations

V. N. Tulovskii


Abstract: In this paper is studied the asymptotic distribution of eigenvalues of the equation $Au=\lambda Bu$, considered in a bounded domain $G\subseteq\mathbf R^n$ with zero boundary conditions. Here $A$ and $B$ are differential operators. Under particular conditions on $A$ and $B$, the asymptotic behavior of the eigenvalues is determined as they tend to $\pm\infty$.
Bibliography: 7 titles.

UDC: 517.9

MSC: Primary 35P20; Secondary 35S15, 35H05, 47G05

Received: 31.03.1971

 English version: Mathematics of the USSR-Sbornik, 1972, 18:2, 191–207

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