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Ivashkina G.A., Beloborodova S.V.
A PROBLEM WITH NONLOCAL BOUNDARY CONDITIONS [№ 9 ' 2014]
Consider the generalized Tricomi equation with boundary conditions relating boundaries of elliptic and hyperbolic parts of the mixed region. The existence and uniqueness of the task.
Ivashkina G.A., Spiridonova E.V.
THE PROBLEM WITH SHIFT FOR A SPECIAL AREA [№ 9 ' 2013]
Problem with shift for generalized Tricomi equation is considered in a special area, bounded normal curve Г with endpoints A (0, 0) and B (1, 0), which lies in the upper half, a ray emanating from the point B and going in the direction of Oх, and feature АС: . Proved that the solution exists and is unique.
Ivashkina G.A.
ON ONE BOUNDARY-VALUE PROBLEM WITH THE DISPLACEMENT FOR MIXED ELLIPTICAL-HYPERBOLIC TYPE EQUATIONS [№ 9 ' 2010]
Tasks with displacement were for the first time set by Nakhushev A.M. In this work task with the displacement is examined. Uniqueness and existence of the solution are proved.
Ivashkina G.A.
THE SECOND TASK OF DARBU FOR EQUATION EILER – DARBU WITH PARAMETERS [№ 4 ' 2006]
General solution of equation Eiler – Darbu for parameters with help of special functions introduction is given in this work and the task of Darby has been solved.
[№ 5 ' 2002]
Nevostruev L.M., Ivashkina G.A.
DARBU WEIGHT PROBLEM FOR ONE EQUATION WITH PARAMETERS. [№ 4 ' 2001]
Performed investigations help to determine fitness criterion of region boundary, traditionally used as regional condition carriers is determined depending on the eguation coefficients. Form of regional conditions. This is either the value of unknown answer or the value of its "oblique" derivative or their different combinations given in local or non-local forms with some more "weight".
G. A. Ivashkina
ALTERED PROPLEM OF KOCHI AND PROBLEM WITH REMOVAL FOR EILER-PUASSON-DARBU`S EQUATION TOGETHER WITH PARAMETERS A < 0, B < 0. [№ 2 ' 2001]
Generalized solution of Kochi`s problem for Eiler-Puasson-Darbu`s equation of the second kind was received only for parameters a, b (-1;0) while -1 < a+b < 0. The problem with removal was solved in the work for 1/2 < a=b < 0. In such work we have broader spectrum of parameters a and b, that is generalization of results, received earlier.
L. M. Nevostruev, G. A. Ivashkina
WEIGHT PROBLEM DRAB FOR ONE EQUATION WITH PARAMETERS [№ 2 ' 2001]
The investigations Performed help to determine fitness criterion of region boundary, traditionally used as regional condition carriers. The Form of regional conditions is determined depending upon the behaviour of coefficient carriers of this equation. This is either the meaning of an unknown answer of its normal or "oblique" derivative or their various combinations, given in local or non local form with some "weight" perhaps.
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