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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

In: Mathematica Slovaca, vol. 65, no. 3
A. R. Aliev - A. L. Elbably
Detaily:
Rok, strany: 2015, 667 - 682
Kľúčové slová:
operator-differential equations, multiple characteristics, self-adjoint operator, weighted space, intermediate derivatives operators
O článku:
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.
Ako citovať:
ISO 690:
Aliev, A., Elbably, A. 2015. On a class of operator-differential equations of the third order with multiple characteristics on the whole axis in the weighted space. In Mathematica Slovaca, vol. 65, no.3, pp. 667-682. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0046

APA:
Aliev, A., Elbably, A. (2015). On a class of operator-differential equations of the third order with multiple characteristics on the whole axis in the weighted space. Mathematica Slovaca, 65(3), 667-682. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0046
O vydaní: