Email this article On a nonlocal boundary-value problem for a loaded parabolic-hyperbolic equation with three lines of degeneracy
- Authors: Islomov B.I.1, Xolbekov J.A.2
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Affiliations:
- National University of Uzbekistan named after M. Ulugbek
- Tashkent State Technical University named after I. Karimov
- Issue: Vol 25, No 3 (2021)
- Pages: 407-422
- Section: Differential Equations and Mathematical Physics
- URL: https://journal-vniispk.ru/1991-8615/article/view/61626
- DOI: https://doi.org/10.14498/vsgtu1822
- ID: 61626
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Abstract
The work is devoted to the proof of the uniqueness and existence of a solution of a nonlocal problem for a loaded parabolic-hyperbolic equation with three lines of change of type. Using the representation of the general solution, the uniqueness of the solution is proved, and the existence of the solution is proved by the method of integral equations. Necessary conditions for the parameters and specified functions are established for the unique solvability of Volterra integral equations of the second kind with a shift equivalent to the problem under study.
About the authors
Bozor I. Islomov
National University of Uzbekistan named after M. Ulugbek
Email: islomovbozor@yandex.com
ORCID iD: 0000-0002-4372-395X
Scopus Author ID: 37041356900
http://www.mathnet.ru/person59921
Dr. Phys. & Math. Sci., Professor; Chief Researcher; Dept. of Differential Equations and Mathematical Physics
4, Universitetskaya st., Tashkent, 100174, UzbekistanJurat A. Xolbekov
Tashkent State Technical University named after I. Karimov
Author for correspondence.
Email: xolbekovja@mail.ru
ORCID iD: 0000-0002-1495-2761
http://www.mathnet.ru/person172679
Assistant; Dept. of Higher Mathematics
2, Universitetskaya st., Tashkent, 100174, UzbekistanReferences
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