Article

Boundary Value Problem for Third Order Partial Integro-Differential Equation with a Degenerate Kernel

T. K. YuldashevUzbek–Israel Joint Faculty of High Technology and Engineering Mathematics, National University of Uzbekistan named after M. Ulugbek, 100174, Tashkent, UzbekistanYu. P. ApakovInstitute of Mathematics named after V. I. Romanovskii at the Academy of Sciences of the Republik of Uzbekistan, 100170, Tashkent, UzbekistanA. Kh. ZhuraevNamangan Engineering-Construction Institute, 160103, Namangan, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2021en

ABI

Abstract

In this paper, we consider the questions of the unique solvability of a boundary value problem for a third-order partial integro-differential equation with a degenerate kernel and multiple characteristics. An explicit solution of the boundary value problem is constructed. In this case, a combination of three methods was used: the method for constructing Green’s function, the method of Fourier series and the Fredholm method for the degenerate kernel.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Algebraic and Geometric Analysis

Identifiers

DOI: 10.1134/s1995080221060329

Citations and references

Cited by 22 20 references

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