Article

    Ufa Mathematical Journal
    Volume 8, Number 2, pp. 58-64

    On compatibility conditions and manilolds of solutions to one class of overdetermined systems of second order partial differential equations


    Pirov R.

    DOI:10.13108/2016-8-2-58

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    In the work we consider a class of overdetermined system of second order partial differential equations for one unknown function involving one or two second order derivatives in the right hand side. We find the compatibility conditions and prove theorems on existence and uniqueness of solutions involving at most six arbitrary constants.