Add to ORKGThe solvability investigation of boundary problems for a parabolic equations with discontinuous coefficients with contact conditions on the separation boundary is the aim of the paper. As a result the theorem of the existence and uniqueness for the solution of contact problems of parabolic equations has been obtained. The unambiguous solvability for systems of integral equations, to which contact problems are reduced, has been proved. The paper results may find their field of application in theory of partial equations, mathematical physicsAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio
In this article we consider the question of existence in the Holder class of the solution of the ini...
1. In t roduct ion. In mathematical modeling of physical-chemical processes in composite bodies. it ...
In this paper we consider a class of integro-differential equations of parabolic type arising in the...
We prove the existence, uniqueness, and the continuous dependence of a generalized solution upon the...
We prove the existence, uniqueness, and the continuous dependence of a generalized so-lution upon th...
The work is devoted to the proof of the uniqueness and existence of a solution of a nonlocal problem...
The aim of the work is to substantiate the existence and solution uniqueness of some boundary proble...
The investigation is concerned with the equations of hyperbolic and parabolic-hyperbolic types of th...
The paper is concerned with singular systems and equations of hyperbolic type. The aim is to prove t...
This work was suggested by a paper by V. W. Bolie in which he develops a non-linear impedance theory...
The aim is to develop the methods for investigation of the beginning-boundary problems and Cauchy pr...
Integral representations of solution varieties from four arbitrary functions of a one variable have ...
A homogeneous boundary condition is constructed for the parabolic equation in an arbitrary cylindr...
In the present work we investigate the Tricomi problem with an integral gluing condition for a para...
There are currently many practical situations in which one wishes to determine the coefficients in a...
In this article we consider the question of existence in the Holder class of the solution of the ini...
1. In t roduct ion. In mathematical modeling of physical-chemical processes in composite bodies. it ...
In this paper we consider a class of integro-differential equations of parabolic type arising in the...
We prove the existence, uniqueness, and the continuous dependence of a generalized solution upon the...
We prove the existence, uniqueness, and the continuous dependence of a generalized so-lution upon th...
The work is devoted to the proof of the uniqueness and existence of a solution of a nonlocal problem...
The aim of the work is to substantiate the existence and solution uniqueness of some boundary proble...
The investigation is concerned with the equations of hyperbolic and parabolic-hyperbolic types of th...
The paper is concerned with singular systems and equations of hyperbolic type. The aim is to prove t...
This work was suggested by a paper by V. W. Bolie in which he develops a non-linear impedance theory...
The aim is to develop the methods for investigation of the beginning-boundary problems and Cauchy pr...
Integral representations of solution varieties from four arbitrary functions of a one variable have ...
A homogeneous boundary condition is constructed for the parabolic equation in an arbitrary cylindr...
In the present work we investigate the Tricomi problem with an integral gluing condition for a para...
There are currently many practical situations in which one wishes to determine the coefficients in a...
In this article we consider the question of existence in the Holder class of the solution of the ini...
1. In t roduct ion. In mathematical modeling of physical-chemical processes in composite bodies. it ...
In this paper we consider a class of integro-differential equations of parabolic type arising in the...