International Journal of Theoretical and Applied Mathematics

Volume 1, Issue 1, June 2015

  • 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

    Mahammad A. Nurmammadov

    Issue: Volume 1, Issue 1, June 2015
    Pages: 1-9
    Received: Jun. 05, 2015
    Accepted: Jun. 16, 2015
    Published: Jun. 17, 2015
    DOI: 10.11648/j.ijtam.20150101.11
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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... Show More
  • 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

    Mahammad A. Nurmammadov

    Issue: Volume 1, Issue 1, June 2015
    Pages: 10-20
    Received: Jun. 21, 2015
    Accepted: Jun. 30, 2015
    Published: Jul. 01, 2015
    DOI: 10.11648/j.ijtam.20150101.12
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    Abstract: 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 pa... Show More