Version 1
: Received: 26 December 2023 / Approved: 10 January 2024 / Online: 10 January 2024 (14:22:51 CET)
How to cite:
Bozor, I.; Oybek, Y.; Akmaljon, A. Nonlocal Boundary Problem for a Loaded Equation of Mixed Type in a Special Domain. Preprints2024, 2024010843. https://doi.org/10.20944/preprints202401.0843.v1
Bozor, I.; Oybek, Y.; Akmaljon, A. Nonlocal Boundary Problem for a Loaded Equation of Mixed Type in a Special Domain. Preprints 2024, 2024010843. https://doi.org/10.20944/preprints202401.0843.v1
Bozor, I.; Oybek, Y.; Akmaljon, A. Nonlocal Boundary Problem for a Loaded Equation of Mixed Type in a Special Domain. Preprints2024, 2024010843. https://doi.org/10.20944/preprints202401.0843.v1
APA Style
Bozor, I., Oybek, Y., & Akmaljon, A. (2024). Nonlocal <span aria-describedby="tippy-18">Boundary Problem for a Loaded Equation of Mixed Type in a Special Domain. Preprints. https://doi.org/10.20944/preprints202401.0843.v1
Chicago/Turabian Style
Bozor, I., Yunusov Oybek and Abdullaev Akmaljon. 2024 "Nonlocal <span aria-describedby="tippy-18">Boundary Problem for a Loaded Equation of Mixed Type in a Special Domain" Preprints. https://doi.org/10.20944/preprints202401.0843.v1
Abstract
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.
Keywords
loaded equation; nonlocal boundary value problem; mixed type equation; general solution representation; integral Volterra equation with shift; fractional derivatives
Subject
Computer Science and Mathematics, Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.