Startseite On a Class of Operator-Differential Equations of the Third Order With Multiple Characteristics on the Whole Axis in the Weighted Space
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On a Class of Operator-Differential Equations of the Third Order With Multiple Characteristics on the Whole Axis in the Weighted Space

  • A. R. Aliev EMAIL logo und A. L. Elbably
Veröffentlicht/Copyright: 29. Juli 2015
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Abstract

In this paper, the conditions of correct solvability are found for a class of the third order operator-differential equations whose principal part has multiple characteristics in the Sobolev type space with exponential weight. The estimations of the norms of intermediate derivative operators closely connected with the solvability conditions are carried out. Moreover, the connection between the weight exponent and the lower bound of the spectrum of the main operator involved in the principal part of the equation is determined in the results of the paper.

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Received: 2012-1-21
Accepted: 2012-11-22
Published Online: 2015-7-29
Published in Print: 2015-6-1

© Mathematical Institute Slovak Academy of Sciences

Heruntergeladen am 26.10.2025 von https://www.degruyterbrill.com/document/doi/10.1515/ms-2015-0046/pdf
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