The Solvability of a New Boundary Value Problem with Derivatives on the Boundary Conditions for Forward-Backward Linear Systems Mixed of Keldysh Type in Multivariate Dimension
International Journal of Theoretical and Applied Mathematics
Volume 1, Issue 1, June 2015, Pages: 1-9
Received: Jun. 5, 2015; Accepted: Jun. 16, 2015; Published: Jun. 17, 2015
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Author
Mahammad A. Nurmammadov, Department of Natural Sciences and its Teaching Methods of Azerbaijan Teachers Institute (Brunch Guba), Azerbaijan, Baku; Department of Mathematics and Department of Psychology of Khazar University, Azerbaijan, Baku
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Abstract
The solvability of the boundary value problem for linear systems of the mixed hyperbolic-elliptic equations of Keldysh 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 value problem are established in a weighted Sobolev space.
Keywords
Changing Time Direction, Weighted Sobolev Space, System Equations of Mixed Type, Weak, Strong and Regular Solution, Forward-Backward Linear Systems Mixed of Keldysh Type
To cite this article
Mahammad A. Nurmammadov, The Solvability of a New Boundary Value Problem with Derivatives on the Boundary Conditions for Forward-Backward Linear Systems Mixed of Keldysh Type in Multivariate Dimension, International Journal of Theoretical and Applied Mathematics. Vol. 1, No. 1, 2015, pp. 1-9. doi: 10.11648/j.ijtam.20150101.11
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