Nonlocal Tricomi boundary value problem for a mixed-type differential-difference equation [PDF]
We investigate the Tricomi boundary value problem for a differential-difference leading-lagging equation of mixed type with non-Carleman deviations in all in all arguments of the required function.
Alexandr Nikolaevich Zarubin
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Tricomi problem for a mixed type equation with two lines of type changing in a special area
We obtain conditions on the complex parameter, when there is an unique solution of the Tricomi problem for an equation with two perpendicular lines of degeneracy.
Al'fira Avkalevna Gimaltdinova (Karamova)
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ON THE UNIQNESS OF TRICOMI PROBLEM ANALOGUE FOR MIXED TYPE EQUATION WITH TWO DEGENERATED PARALLEL LINES [PDF]
In this paper the solution uniqness toTricomi problem analogue for the mixed type equation in a do-main containing two parallel lines with parabolic degeneration.
Z.V. Kudaeva
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ABOUT THREE-DIMENSIONAL ANALOGUE OF THE PROBLEM OF TRICOMI WITH PARALLEL PLANES OF EXTINCTION [PDF]
Three-dimensional analogue of the problem of Tricomi with non-characteristic parallel planes of change of types of the equation is investigated for a parabolic-hyperbolic equation.
Yu.P. Apakov
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Об одном аналоге задачи Трикоми для «точечно» нагруженного уравнения гиперболо-параболического типа
Для нагруженного уравнения гиперболо-параболического типа исследуется однозначная разрешимость аналога задача Трикоми. Нагрузка определена в фиксированных точках области искомых решений, в том числе и во внутренних точках. Найдены условия существования и
Хубиев, К.У.
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ABOUT THE A PRIORI ESTIMATE FOR SOLUTION OF TRICOMI PROBLEM FOR THE LAVRENTIEV-BITSADZE EQUATION
The theorem about the a priori estimate for the solution of Tricomi problem for Lavrentiev-Bitsadze equation is proved. From this theorem, in particular, follows the uniqueness of a regular solution of the investigated problem.
Balkizov Zh. A., Sokurov A. A.
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Boundary Value Problems with Integral Gluing Conditions for Fractional-Order Mixed-Type Equation
Analogs of the Tricomi and the Gellerstedt problems with integral gluing conditions for mixed parabolic-hyperbolic equation with parameter have been considered.
A. S. Berdyshev +2 more
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Tricomi problem analogue for loaded equation of hyperbolic-parabolic type with variable coefficients
An analogue of Tricomi problem for loaded equation of hyperbolic-parabolic type with variable coefficients is researched. The theorem on existence and uniqueness of solution is proved for special conditions on the coefficients.
K. U. Khubiev
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Finite-difference method for solving Tricomi problem for the Lavrent’ev-Bitsadze equation
In this paper we obtain an a priori estimate for solution of Tricomi problem for the Lavrent’ev-Bitsadze equation, from which the uniqueness of regular solution follows. Presented a numerical finite-difference method for solving the investigated problem.
Giraslan A Balkizov, Aslan A Sokurov
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On Tricomi Problem of Chaplygin’s Hodograph Equation
The existence and uniqueness results for the Tricomi problem of Chaplygin’s hodograph equation are shown, in the case that the domain considered is close to the parabolic degenerate line, by adopting the energy integral methods and choosing judiciously ...
Meng Xu, Li Liu, Hairong Yuan
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