We consider the Dirichlet problem in a four-dimensional domain formed by characteristic surfaces of an equation of the 8th order with the doublemajor partial derivative. We state sufficient conditions for the unique ...

© 2015, Pleiades Publishing, Ltd. We consider a kind of Goursat problem for a fourth-order equation in a form not studied yet and prove the existence and uniqueness of the solution of this problem.

© 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.

In a rectangular domain on the plane, we consider the Dirichlet problem for a fourthorder pseudoparabolic equation with double differentiation with respect to each of the variables. To solve the problem, we reduce it to a ...

© 2014, Springer Science+Business Media New York. The well known Kochen-Specker’s theorem (Kochen and Specker J. Math. Mech. 17:59–87, 1967) is devoted to the problem of hidden variables in quantum mechanics. In the paper ...

© 2015, Allerton Press, Inc. For a third order equation we consider three problems with normal derivatives in boundary conditions. For every of the problems we prove the existence of a unique reducibility to the Goursat 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.

We consider the Bianchi equation in a rectangular 3D parallelepiped G. For this equation, we analyze the problem of finding a regular solution on the basis of three given linear relations each of which relates the values ...

© 2015, Springer Science+Business Media New York. The well known Kochen-Specker’s theorem is devoted to the problem of hidden variables in quantum mechanics. The Kochen-Specker theorem says: There is no two-valued probability ...