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, issue 1

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, “ε‐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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https://doi.org/10.1155/2015/703652

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:703652

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