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Articles 1 - 6 of 6

Full-Text Articles in Physical Sciences and Mathematics

On Negative Eigenvalues Of The Discrete Schrödinger Operator With Non-Local Potential, Sh.S. Lakaev, Z.E. Muminov Oct 2018

On Negative Eigenvalues Of The Discrete Schrödinger Operator With Non-Local Potential, Sh.S. Lakaev, Z.E. Muminov

Scientific Journal of Samarkand University

On the d- dimensional lattice 2 , 1 ,  d d Z the discrete Schrödinger operator  H with non- local potential constructed via the Dirac delta function and shift operator is considered. The existence of negative eigenvalues on the parameters of the operator is explicity derived.


The Problem Of Restoring A Function In A Strip Along Curves With Singularities, А.Kh. Begmatov, A.S. Ismoilov Oct 2018

The Problem Of Restoring A Function In A Strip Along Curves With Singularities, А.Kh. Begmatov, A.S. Ismoilov

Scientific Journal of Samarkand University

In this work we consider the problem of re constructing a function from a family of parabolas in the upper half-plane with a weight function having a singularity. The uniqueness of theorem for the solution of equation is proved and the inversion formula is derived. It is shown that the solution of the problem posed is weakly ill -posed, that is, stability estimates are obtained in spaces of finite smoothness.


The Cauchy Problem For The System Of The Moment Elasticity, I.E. Niyozov, Т. Begmatov Oct 2018

The Cauchy Problem For The System Of The Moment Elasticity, I.E. Niyozov, Т. Begmatov

Scientific Journal of Samarkand University

In this paper we consider the problem of analytical continuation of solutions to the system of the moment elasticity in a bounded domain from their values and values of their strains on a part of the boundary of this domain, i.e., we study the Cauchy proble m.


The Extension Of The Generalized Analytic Functions, Т. Ishonqulov, D. Fozilov Jun 2018

The Extension Of The Generalized Analytic Functions, Т. Ishonqulov, D. Fozilov

Scientific Journal of Samarkand University

In this paper we consider the problem of extending a generalized analytic function to a unit disk from its known values on the arc of the boundary circle. A criterion for the solvability of this problem is established.


The Integral Formula For First-Order Elliptic Systems With Constant Coefficients In An Unbounded Domain, F.R. Tursunov Feb 2018

The Integral Formula For First-Order Elliptic Systems With Constant Coefficients In An Unbounded Domain, F.R. Tursunov

Scientific Journal of Samarkand University

In this note we present a formula for the solutions of systems of first -order differential equations of elliptic type of a special class in an unbounded domain.


On The Some Generalizations And Improvements Of The Best Polynomial Approximations Of Functions Of Many Real Variables, A. Khatamov Feb 2018

On The Some Generalizations And Improvements Of The Best Polynomial Approximations Of Functions Of Many Real Variables, A. Khatamov

Scientific Journal of Samarkand University

The paper is devoted to some generalizations and improvements of results obtained in the paper [1] of the best joint polynomial approximations in uniform and integral metrics on a given bounded closed convex domain of the functions of many real variables (FMRV) from the seminormalized Sobolev space with last derivative of integrable on nonempty intersections of each straight line with this domain.