The Existence and Uniqueness of a New Boundary Value Problem (Type of Problem “E”) for Linear System Equations of the Mixed Hyperbolic-Elliptic Type in the Multivariate Dimension with the Changing Time Direction

Mahammad A. Nurmammadov

Abstract and Applied Analysis, 2015, vol. 2015, 1-10

Abstract:

The existence and uniqueness of the boundary value problem for linear systems equations of the mixed hyperbolic-elliptic type in the multivariate domain with the changing time direction are studied. Applying methods of functional analysis, “ -regularizing” continuation by the parameter and by means of prior estimates, the existence and uniqueness of generalized and regular solutions of a boundary problem are established in a weighted Sobolev space.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:703652

DOI: 10.1155/2015/703652

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