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- Admissible control (1)
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- Fourier transform (1)
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- Initial-boundary (1)
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- Oscillatory integral (1)
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- The main integral equation (1)
- Weierstrass prepation theorem (1)
Articles 1 - 3 of 3
Full-Text Articles in Analysis
Oscillatory Integrals And Weierstrass Polynomials, Azimbay Sadullaev, Isroil Ikromov
Oscillatory Integrals And Weierstrass Polynomials, Azimbay Sadullaev, Isroil Ikromov
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
In this work we consider some applications of the Weierstrass preparation theorem and Weierstrass pseudopolynomials to study of behavior of the oscillatory integrals and Fourier transforms with analytic and smooth phases with critical points.
On The Continuation Of The Hartogs Series With Holomorphic Coefficients, Takhir Tuychiev, Jurabay Tishabaev
On The Continuation Of The Hartogs Series With Holomorphic Coefficients, Takhir Tuychiev, Jurabay Tishabaev
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
In this paper we consider the question of continuation of the sums of the Hartogs series that admit holomorphic continuation along a fixed direction with “thin” singularities, assuming only the holomorphic of the coefficients of the series and investigate the convergence region of such series. The results of the work develop a well-known result of A.Sadullaev and E.M.Chirka on the continuation of functions with polar singularities.
On A Control Problem Associated With Fast Heating Of A Thin Rod, Shavkat Alimov, Farrukh Dekhkonov
On A Control Problem Associated With Fast Heating Of A Thin Rod, Shavkat Alimov, Farrukh Dekhkonov
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
In this work, we consider boundary control problem associated with a parabolic equation on a interval. On the part of the border of the considered segment, the value of the solution with control parameter is given. Restrictions on the control are given in such a way that the average value of the solution in some part of the considered interval gets a given value. The auxiliary problem is solved by the method of separation of variables, while the problem in consideration is reduced to the Volterra integral equation of the second kind. The control parameter is defined on one. The …