Nonlocal Tricomi boundary value problem for a mixed-type differential-difference equation
- Authors: Zarubin A.N.1
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Affiliations:
- Orel State University named after I. S. Turgenev
- Issue: Vol 25, No 1 (2021)
- Pages: 35-50
- Section: Differential Equations and Mathematical Physics
- URL: https://journals.eco-vector.com/1991-8615/article/view/60180
- DOI: https://doi.org/10.14498/vsgtu1835
- ID: 60180
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Abstract
We investigate the Tricomi boundary value problem for a differential-difference leading-lagging equation of mixed type with non-Carleman deviations in all in all arguments of the required function. A reduction is applied to a mixed-type equation without deviations. Symmetric pairwise commutative matrices of the coefficients of the equation are used. The theorems of uniqueness and existence are proved. The problem is unambiguously solvable.
About the authors
Alexandr Nikolaevich Zarubin
Orel State University named after I. S. Turgenev
Author for correspondence.
Email: matdiff@yandex.ru
ORCID iD: 0000-0002-0611-5752
SPIN-code: 9296-6666
Scopus Author ID: 10046147800
http://www.mathnet.ru/rus/person44134
Dr. Phys. & Math. Sci., Professor; Head of Dept.; Dept. of Mathematical Analysis and Differential Equations
95, Komsomolskaya st., Orel, 119192, Russian FederationReferences
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