Article

    Ufa Mathematical Journal
    Volume 3, Number 3, pp. 15-25

    Boundary value problems for the loaded third order equations of the hyperbolic and mixed types


    Baltaeva I.I., Islomov B.

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    In this paper unique solvability is proved for the solution boundary value problems of a loaded third order differential equations with hyperbolic and parabolic-hyperbolic operators. The boundary value problems for a loaded differential equation is reduced to a Volterra integral equation of the second kind. Using this by method of integral equations, existence and uniqueness is proved for the solution of boundary value problems.