© 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 ...

We obtain sufficient conditions for the unique solvability of the characteristic boundary problem for one hyperbolic equation. © 2012. Allerton Press, Inc.

We consider characteristic problems with normal derivatives for a hyperbolic systemwith two independent variables. Using the Riemann method, we obtain solvability conditions for these problems accurate to several arbitrary ...

We give a version of the Riemann method for solving the Cauchy problem for a linear equation with variable coefficients with leading partial derivative. © 2006 Springer Science+Business Media, Inc.