Correction to the article: General boundary value problem for second-order elliptic systems with constant coefficients (Vol. 2, No. 1)
“The rank of the matrix
Submitted 1966-01-01 | SovietRxiv: ru-196601.86389 | Translated from Russian

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Correction

In my article “General boundary value problem for second-order elliptic systems with constant coefficients,” published in vol. 2, no. 1, after the colon in the next-to-last line of page 3 through the end of the paragraph on page 4, instead of the text printed there, it should read:

“The rank of the matrix

\[ \int_{\gamma} \bigl(a(z)+\lambda b(z)\bigr)\,\Delta(z,\lambda)\,X(\lambda)\,d\lambda,\qquad z\in\Gamma, \tag{4} \]

is equal to \(n\), where \(X(\lambda)=(E,\lambda E)\); \(E\) is the identity matrix of order \(n\); \(\Delta(z,\lambda)\) is the inverse of the matrix \(A+2B\lambda+C\lambda^{2}\); \(\gamma\) is a contour in the half-plane \(\operatorname{Im}\lambda>0\) enclosing all the roots of the polynomial \(\det(A+2B\lambda+C\lambda^{2})\) that lie in this half-plane.”

N. Tovmasyan

AT 04372. Sent to typesetting 23/III-66. Signed for printing 12/V-66. Format \(70\times108^{1}/16\). Printer’s sheets 8.5. Conventional printer’s sheets 11.6. Publisher’s sheets 11.8. Publishing order 112. Printing order 351. Price 1 rub. 20 kopecks.

Printing house of the Publishing House “Nauka i Tekhnika” of the Academy of Sciences of the BSSR and of the Committee on Printing under the Council of Ministers of the BSSR. Minsk, Leninsky Prospekt, 68.

Submission history

Correction to the article: General boundary value problem for second-order elliptic systems with constant coefficients (Vol. 2, No. 1)