Nonlocal Boundary Problem for a Loaded Equation of Mixed Type in a Special Domain

Islomov Bozor; Yunusov Oybek; Abdullaev Akmaljon

doi:10.20944/preprints202401.0843.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 26 December 2023 / Approved: 10 January 2024 / Online: 10 January 2024 (14:22:51 CET)

The purpose of the research is to investigate the unique solvability of a nonlocal boundary value problem for a loaded equation of parabolic-hyperbolic type in a special domain. Methods: Using representations of a general regular solution, the existence and uniqueness of the problem posed is proved. Results: A new method for proving the unique solvability of nonlocal boundary value problems for one loaded equation of mixed type in a special domain has been formed and developed. Conclusions: The obtained results make it possible to solve some problems of genetics, immunology, transonic gas dynamics and thermal physics, which are associated with displacement.

loaded equation; nonlocal boundary value problem; mixed type equation; general solution representation; integral Volterra equation with shift; fractional derivatives

Computer Science and Mathematics, Mathematics

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Nonlocal Boundary Problem for a Loaded Equation of Mixed Type in a Special Domain

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