arXiv subjects

Ilgar G. Mamedov

Publications and source records attributed to Ilgar G. Mamedov.

9 recordsLinked to original sources

arXiv2013

On correct solvability of a Dirichlet problem for generalized Manjeron equation with non-smooth coefficients

In the paper obtained equivalent system of Fredholm integral equations in the study of the Dirichlet problem for the generalized Manjeron equation with non-smooth coefficients in non-classical treatment (1), (4). When non-smooth conditions on the coefficients of the equation in a rectangular region for this problem posed are found correct solvability conditions in integral form based on the method of integral representations.

math.AP↗

arXiv2013

On four-dimensional Goursat problem in the non-classical treatment for a hyperbolic equation

There is substantiated the four-dimensional Goursat problem with non-classical conditions for a hyperbolic equation.

math.CA↗

arXiv2013

Non-local combined problem

In this paper we consider a problem of with conditions of Bitsadze-Samarski and the Samarski-Ionkin type for system of pseudoparabolic equations of fourth-order with discontinuous coefficients.

math.AP↗

arXiv2012

Cauchy problem in the non-classical treatment for one pseudoparabolic equation

In the paper, we consider the Cauchy problem for a fifth order pseudoparabolic equation that appears in studying the issues of fluid filtration in fissured media, the moisture transfer in soils and etc. The Cauchy problem with non-classic conditions not requiring the agreement conditions are studied for a discontinuous coefficient pseudoparabolic equation. The equivalence of these conditions with the Cauchy classic condition is substantiated in the case when the solution of the stated problem is sought in S.L.Sobolev anisotropic space.

math.AP↗

arXiv2012

Contact-boundary value problem in the non-classical treatment for one pseudoparabolic equation

In the paper, the contact - boundary value problem with non-classical conditions not requiring agreement conditions is considered for a pseudoparabolic equation. The equivalence of these conditions is substantiated in the case if the solution of the solution of the stated problem is sought in S.L.Sobolev isotropic space.

math.AP↗

arXiv2012

Dirichlet problem in the non-classical treatment for one pseudoparabolic equation of fourth order

In the paper the Dirichlet problem with non-classical conditions not requiring agreement conditions is considered for a fourth order pseudoparabolic equation with non-classical coefficients. The equivalence of these conditions with the classic boundary conditions is substantiated in the case if the solution of the stated problem is sought in S.L.Sobolev isotropic space.

math.DS↗

arXiv2012

Final-boundary value problem in the non-classical treatment for a sixth order pseudoparabolic equation

For this equation we consider a final-boundary value problem with non-classical conditions not requiring agreement conditions. Equivalence of these conditions with the classic boundary condition is substantiated in the case if the solution of the stated problem is sought in S.L.Sobolev anisotropic space.

math.AP↗

arXiv2012

Goursat problem in the non-classical treatment for a sixth order pseudoparabolic equation

In the paper the Goursat problem with non classical boundary conditions not requiring the agreement conditions is considered for a sixth order pseudoparabolic equation with the classical boundary condition is substantiated in the case if the solution of the stated problem is sought in S.L.Sobolev anisotropic space.

math.AP↗

arXiv2012

On a problem with conditions on all boundary for a pseudoparabolic equation

A problem with non-classical conditions on all the boundary not requiring agreement conditions is considered for a sixth order pseudoparapolic equation. The equivalence of these conditions with the classic boundary condition is substantiated in the case if the solution of the stated problem is sought in S.L.Sobolev isotropic space.

math.AP↗