Science Publishing Group: International Journal of Theoretical and Applied Mathematics: Table of Contents
<i>International Journal of Theoretical and Applied Mathematics (IJTAM)</i> is a peer-reviewed journal on all areas of theoretical and applied mathematics and methods to solve problems in engineering, natural sciences, and business through mathematical, computational and statistical methods. Topics of interest include, but are not limited to: pure mathematics, applied sciences, approximation theory, computational simulation, control, differential equations, dynamics, inverse problems, modeling, numerical analysis, optimization, probabilistic and statistical methods, stochastic processes. Research papers may be in any area of theoretical and applied mathematics and applied statistics, with special emphasis on new mathematical ideas, relevant to modelling and analysis in modern science and technology, and the development of interesting mathematical methods of wide applicability, applications functional analysis to equation mathematical physics, nonclassical mathematical physics, equations of mixed and composite type.
http://www.sciencepublishinggroup.com/j/ijtam Science Publishing Group: International Journal of Theoretical and Applied Mathematics: Table of Contents
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International Journal of Theoretical and Applied Mathematics
International Journal of Theoretical and Applied Mathematics
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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
http://www.sciencepublishinggroup.com/journal/paperinfo.aspx?journalid=347&doi=10.11648/j.ijtam.20150101.11
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.
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.
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
doi:10.11648/j.ijtam.20150101.11
International Journal of Theoretical and Applied Mathematics
2015-06-17
© Science Publishing Group
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
1
1
9
9
2015-06-17
2015-06-17
10.11648/j.ijtam.20150101.11
http://www.sciencepublishinggroup.com/journal/paperinfo.aspx?journalid=347&doi=10.11648/j.ijtam.20150101.11
© Science Publishing Group
The Solvability of a New Boundary Value Problem with Derivatives on the Boundary Conditions for Forward-Backward Semi Linear Systems Mixed of Keldysh Type in Multivariate Dimension
http://www.sciencepublishinggroup.com/journal/paperinfo.aspx?journalid=347&doi=10.11648/j.ijtam.20150101.12
Abstract. In present paper we investigate solvability of a new boundary value problem with derivatives on the boundary conditions for semi-linear systems of mixed hyperbolic-elliptic of Keldysh type equations in multivariate dimension with the changing time direction . Considered problem and system equations are new and belong to modern level of partial differential equations, moreover contain partition degenerating elliptic, degenerating hyperbolic, mixed and composite type differential equations. Applying methods of functional analysis, topological methods, “ -regularizing» and continuation by the parameter at the same time with aid of a prior estimates, under assumptions conditions on coefficients of equations of system, the existence and uniqueness of generalized and regular solutions of a boundary value problem are established in a weighted Sobolev’s space. In this work one of main idea, the identity of strong and weak solution is established.
Abstract. In present paper we investigate solvability of a new boundary value problem with derivatives on the boundary conditions for semi-linear systems of mixed hyperbolic-elliptic of Keldysh type equations in multivariate dimension with the changing time direction . Considered problem and system equations are new and belong to modern level of partial differential equations, moreover contain partition degenerating elliptic, degenerating hyperbolic, mixed and composite type differential equations. Applying methods of functional analysis, topological methods, “ -regularizing» and continuation by the parameter at the same time with aid of a prior estimates, under assumptions conditions on coefficients of equations of system, the existence and uniqueness of generalized and regular solutions of a boundary value problem are established in a weighted Sobolev’s space. In this work one of main idea, the identity of strong and weak solution is established.
The Solvability of a New Boundary Value Problem with Derivatives on the Boundary Conditions for Forward-Backward Semi Linear Systems Mixed of Keldysh Type in Multivariate Dimension
doi:10.11648/j.ijtam.20150101.12
International Journal of Theoretical and Applied Mathematics
2015-07-01
© Science Publishing Group
Mahammad A. Nurmammadov
The Solvability of a New Boundary Value Problem with Derivatives on the Boundary Conditions for Forward-Backward Semi Linear Systems Mixed of Keldysh Type in Multivariate Dimension
1
1
20
20
2015-07-01
2015-07-01
10.11648/j.ijtam.20150101.12
http://www.sciencepublishinggroup.com/journal/paperinfo.aspx?journalid=347&doi=10.11648/j.ijtam.20150101.12
© Science Publishing Group