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National/International : Ulusal ✕Researcher : Asan ÖMÜRALİEV ✕
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Prof. Dr. Asan ÖMÜRALİEVFen Fakültesi
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Asymptotics of the solution of the hyperbolic system with a small parameter

Asan ÖMÜRALİEV | Ella ABILAYEVA

Asymptotic study of singularly perturbed differential equations of hyperbolic type has received relatively little attention from researchers. In this paper, the asymptotic solution of the singularly perturbed Cauchy problem for a hyperbolic system is constructed. In addition, the regularization method for singularly perturbed problems of S. A. Lomov is used for the first time for the asymptotic solution of a hyperbolic system. It is shown that this approach greatly simplifies the construction of the asymptotics of the solution for singularly perturbed differential equations of hyperbolic type.

Article 2022 Fen Fakültesi MANAS Journal of Engineering (MJEN)10 ( 2 ) 60 Views
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Variational Formulation Of A Boundary-value Problem Corresponding To Forced Vibration Of An Imperfectly Bonded Bi-layered Plate-strip Resting On A Rigid Foundation

Elman HAZAR | Dağıstan ŞİMŞEK | Asan ÖMÜRALİEV | Burak OĞUL | Ella ABILAYEVA | Peyil Esengul Kızı

In the present study, a boundary-value problem corresponding to forced vibration of an imperfectly bonded bi-layered plate-strip resting on a rigid foundation is considered. In the framework of three-dimensional linearized theory of elastic waves in initially stressed bodies, the mathematical modelling of considered problem is given. Then, the variational formulation of the problem considered is obtained in the framework of the principles of calculus of variation. The problem considered differs from the previous studies in the view of imperfect boundary conditions between the layers of the pla ...More

Article 2015 Fen Fakültesi MANAS Journal of Engineering (MJEN)3 ( 2 ) 123 Views
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Two-dimensional parabolic problem with a rapidly oscillating free term

Ella ABILAYEVA | Asan ÖMÜRALİEV

The aim of this paper is to construct regularized asymptotics of the solution of a two-dimensional partial differential equation of parabolic type with a small parameter for all spatial derivatives and a rapidly oscillating free term. The case when the first derivative of the phase of the free term at the initial point vanishes is considered. The two-dimensionality of the equation leads to the emergence of a two-dimensional boundary layer. The presence in the free term of a rapidly oscillating factor leads to the inclusion in the asymptotic of the boundary layer with a rapidly oscillating na ...More

Article 2019 Fen Fakültesi MANAS Journal of Engineering (MJEN)7 ( 1 ) 48 Views
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Asymptotics of the Solution of the Parabolic Problem with a Stationary Phase and an Additive Free Member

Asan ÖMÜRALİEV | Ella ABILAYEVA

In this paper we construct the asymptotics of the solution of the singularly perturbed parabolic problem with the stationary phase and the additive free term.

Article 2018 Fen Fakültesi MANAS Journal of Engineering (MJEN)6 ( 2 ) 67 Views
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