On the Correct Solvability of the Boundary-Value Problem for One Class Operator-Differential Equations of the Fourth Order with Complex CharacteristicsReport as inadecuate




On the Correct Solvability of the Boundary-Value Problem for One Class Operator-Differential Equations of the Fourth Order with Complex Characteristics - Download this document for free, or read online. Document in PDF available to download.

Boundary Value Problems

, 2009:710386

First Online: 27 September 2009Received: 19 February 2009Revised: 22 July 2009Accepted: 26 August 2009

Abstract

Sufficient coefficient conditions for the correct and unique solvability of the boundary-value problem for one class of operator-differential equations of the fourth order with complex characteristics, which cover the equations arising in solving the problems of stability of plastic plates, are obtained in this paper. Exact values of the norms of operators of intermediate derivatives, which are involved in the perturbed part of the operator-differential equation under investigation, are found along with these in subspaces Open image in new window in relation to the norms of the operator generated by the main part of this equation. It is noted that this problem has its own mathematical interest.

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Author: Araz R Aliev - Aydin A Gasymov

Source: https://link.springer.com/







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