Dec 13 – 14, 2025 HYBRID
Erzurum, Turkiye
Europe/Istanbul timezone

Asymptotic Solution of Singular Perturbed Volterra-Type Integral Equations

Dec 14, 2025, 3:15 PM
15m
VCR/1-5 (Virtual Room)

VCR/1-5

Virtual Room

50
Oral Presentation Applied Probability and Optimization Maths, Computation and Modeling

Speaker

Peyil Esengul kyzy (KYRGYZ-TURKISH MANAS UNIVERSITY)

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

Authors

Prof. Asan Omuraliev (I. Razzakov Kyrgyz State Technical University) Peyil Esengul kyzy (KYRGYZ-TURKISH MANAS UNIVERSITY)

Co-author

Dr Ella Abylaeva (Kyrgyz-Turkish Manas University)

Presentation materials

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