Article

Nonlocal Direct and Inverse Problems for a Second Order Nonhomogeneous Fredholm Integro-Differential Equation with Two Redefinition Data

Жылдыз АртыковаOsh State University, 723500, Osh, KyrgyzstanRovshan A. BandaliyevAzerbaijan University of Architecture and Construction, AZ1073, Baku, AzerbaijanT. K. YuldashevTashkent State University of Economics, 100066, Tashkent, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2023en

ABI

Abstract

The questions of solvability and construction of solutions of a nonlocal direct and inverse problems for a second-order nonhomogeneous Fredholm integro-differential equation with a degenerate kernel, two redefinition data and two real parameters are considered. The degenerate kernel method is used. The features that have arisen in the construction of solutions and are associated with the determination of the integration coefficients and redefinition data are studied. The values of the parameters are calculated for which the solvability of direct nonlocal problem is established and the corresponding solutions are constructed. It is studied the case when inverse problem has a unique solution.

Topics

Numerical methods in inverse problems Differential Equations and Boundary Problems Differential Equations and Numerical Methods

Identifiers

DOI: 10.1134/s1995080223100050

Citations and references

Cited by 1 29 references

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