Geodesic
Nonlocal Tricomi boundary value problem for a mixed-type differential-difference equation
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 25 (2021) no. 1, pp. 35-50

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We investigate the Tricomi boundary value problem for a differential-difference leading-lagging equation of mixed type with non-Carleman deviations 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.
Keywords: mixed-type equation, differential-difference equation, integral equation, singular integral equation, concentrated lag and lead. 
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     author = {A. N. Zarubin},
     title = {Nonlocal {Tricomi} boundary value problem for a mixed-type differential-difference equation},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {35--50},
     publisher = {mathdoc},
     volume = {25},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2021_25_1_a2/}
}
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A. N. Zarubin. Nonlocal Tricomi boundary value problem for a mixed-type differential-difference equation. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 25 (2021) no. 1, pp. 35-50. http://geodesic.mathdoc.fr/item/VSGTU_2021_25_1_a2/