Speaker
Peyil Esengul kyzy
(Department of Mathematics, Faculty of Sciences, Kyrgyz-Turkish Manas University, Bishkek, Kyrgyz Republic)
Description
The structure of the boundary layer in the asymptotics of a singularly perturbed Volterra-type integral equation is determined by the kernel of the integral equation. Researchers studying singularly perturbed integral equations have transformed them into integro-differential equations by differentiation, and then they have constructed the asymptotics. We will directly regularize the integral equation. To regularize the integral operator, we use the Dirac delta function, while other researchers using Lomov's method use integration by parts.
| Keywords | Integral Equation, Asymptotic Solution, Volterra-Type Integral Equations, Singular Perturbed |
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Authors
Prof.
Asan Omuraliev
(I. Razzakov Kyrgyz State Technical University)
Peyil Esengul kyzy
(Department of Mathematics, Faculty of Sciences, Kyrgyz-Turkish Manas University, Bishkek, Kyrgyz Republic)
Co-author
Dr
Ella Abylaeva
(Department of Applied Mathematics and Informatics, Faculty of Sciences, Kyrgyz-Turkish Manas University, Bishkek, Kyrgyz Republic)
