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Найденный: 4 Экземпляр 0.001 sn
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On the asymptotics of solution of one problem of optimal control of the small-parameter parabolic equation

Asan ÖMÜRALİEV | Ramiz RAFATOV

For the singularly perturbed parabolic problem, a regularized asymptotics of the solution of the problem of optimal control was constructed. The solution asymptotics involves parabolic boundary-layer functions obeying a special function called the “complementary probability integral.

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Asymptotics of solutions to the time-dependent Schrödinger equation with a small Planck constant

Asan ÖMÜRALİEV

A regularized asymptotics of the solution to the time-dependent Schrödinger equation in which the spatial derivative is multiplied by a small Planck constant is constructed. It is shown that the asymptotics of the solution contains a rapidly oscillating boundary layer function. - Keywords: singularly perturbed time-dependent Schrödinger equation regularized asymptotics solutions

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Regularization of a two-dimensional singularly perturbed parabolic problem

Asan ÖMÜRALİEV

A regularized asymptotic expansion of the solution to a singularly perturbed two-dimensional parabolic problem in domains with boundaries containing corner points is constructed. The asymptotics of solutions to such problems contain ordinary boundary-layer functions, parabolic boundary-layer functions, and their products, which describe a corner boundary layer. - Keywords: singularly perturbed parabolic problems parabolic boundary layer regularized asymptotics

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Uniform and pointwise polynomial inequalities in regions with asymptotically conformal curve on weighted Bergman space

Fahreddin ABDULLAYEV

In this present work, we continue studying the Nikol’skii and Bernstein–Walsh type estimations for complex algebraic polynomials in the bounded and unbounded regions bounded by asymptotically conformal curve.- Keywords and phrases: Polynomials Nikol’skii inequalities Bernstein inequalities Conformal mapping Asymptotically conformal curve

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