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Tricomi Problem for Differential-Difference Equations of Mixed

Authors: Lashtabega О. V., Zarubin А. N.

The paper examines the boundary value problem for mixed type equations with two perpendicular lines of degeneracy and the delay in the derivative.

The Equations of Continuousness in Bidimentional Models of Filtration Liquid and Gas in the Bent Layers of Final Thickness

Authors: Tolpaev V. A., Paliev V. V.

The finding of equation of continuousness for construction a bidimentional models of filtration a compressed liquid in the bent layers of final thickness is given, the porous environment in which can show sorb properties. As the special case is given the equation of continuousness for filtration of a compressed liquid in rather thin bent layers with sorbing and nonsorbing porous environment.

About Dirichle’s Rows whith Finite-Valued Multiplicative Coefficients, Satisfy the Riman’s Type Functional Equation

Authors: Krivobok V. V.

In this paper the class of absolutely convergent on the half-plane σ > 1 Dirichlet series with multiplicative finite-valued coefficients is considered. We prove that only Dirichlet L-functions are solutions of a functional Riemann type equation.

Well-posedness of the Dirichlet problem in a cylindrical domain for multidimensional elliptic-parabolic equation

Authors: Aldashev S. A.

A unique solvability of classic solutions to Dirichlet's problem in the cylindrical domain for the model multidimensional elliptic-parabolic equation is shown in the article