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Publication year : 2022 ✕Source : Ukrainian Mathematic ... ✕
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Singularly Perturbed Multidimensional Parabolic Equation with Rapidly Oscillating Free Term

Asan ÖMÜRALİEV | Ella ABILAYEVA

The regularized asymptotics of the solution of the first boundary-value problem for a two-dimensional differential equation of parabolic type is constructed in the case where the phase derivative vanishes at a single point. It is shown that angular and multidimensional boundary-layer functions appear in problems of this kind parallel with other types of boundary layers.

Article 2022 Fen Fakültesi Ukrainian Mathematical Journal73 ( 12 ) 80 Views
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On the Growth of Derivatives of Algebraic Polynomials in a Weighted Lebesgue Space

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

We study the growth rates of the derivatives of an arbitrary algebraic polynomial in bounded and inbounded regions of the complex plane in weighted Lebesgue spaces.

Article 2022 Fen Fakültesi Ukrainian Mathematical Journal74 ( 5 ) 128 Views
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