© 2020, Allerton Press, Inc. We state a new problem for a fourth-order factorized differential equation, whose operator is the product of first- and third-order differential operators, and prove its unique solvability. We ...

© 2015, Allerton Press, Inc. For a system of first-order partial differential equations of a form not studied earlier we consider a variant of Goursat problem and prove the existence and uniqueness of the solution to the problem.

© 2017, Allerton Press, Inc. For functional-differential quasilinear hyperbolic equation not investigated earlier, we consider problems with conditions on characteristics and obtain conditions of solvability.

In this paper, we investigate some problems which can be reduced to the Goursat problem for a fourth order equation. Some results and theorems are given concerning the existence and uniqence for the solution of the suggested ...

In this paper, the Goursat problem of a general form for a linear partial differential equation is investigated with the help of the Riemann function method. Some results are given concerning the existence and uniqueness ...

Our study is considered as a continuation of results in [1-8]. More precisely we investigate the Goursat problem in class C2+2+2(D) for the equation (1) below by Riemann method variant from the works [8] and [9].