Abstract:
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.
Citation:
A. N. Zarubin, “Nonlocal Tricomi boundary value problem for a mixed-type differential-difference equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 25:1 (2021), 35–50