Nonlocal Tricomi boundary value problem for a mixed-type differential-difference equation

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.

Keywords

• mixed-type equation
• differential-difference equation
• integral equation
• singular integral equation
• concentrated lag and lead