Apr 24 – 26, 2025 HYBRID
Bishkek, Kyrgyzstan
Asia/Bishkek timezone

An inverse source problem for a fourth-order linear differential pseudoparabolic equation

Apr 24, 2025, 2:00 PM
15m
KTMU (Bishkek, Kyrgyzstan)

KTMU

Bishkek, Kyrgyzstan

C. Aytmatov Campus, Kyrgyzstan-Turkish Manas University, 720038, Jal, Bishkek, KYRGYZSTAN
Oral Presentation Modern Applications in Mathematical Modeling, Data Analysis, Optimization, Numerical Methods and Scientific Programming, Mathematical Biology, Mathematical Chemistry and Mathematical Physics Mathematics and Computational Sciences Session 1 Hall 2

Speaker

Kalyskan Matanova (Kyrgyz-Turkish Manas University)

Description

This work is devoted to investigating the inverse problem of determining the right-hand side for a one-dimensional linear differential pseudoparabolic equation of fourth order with an initial and homogeneous boundary conditions, and overdetermination conditions. The inverse problem reduces to system of Volterra linear integral equations of the second kind using integral equations method and Green function. The sufficient conditions of existence and uniqueness solution of the inverse problem are received.

Keywords Inverse problem, pseudoparabolic equation, Green function, Volterra integral equations, existence and uniqueness solution

Primary author

Kalyskan Matanova (Kyrgyz-Turkish Manas University)

Presentation materials

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