We derive sufficient conditions for the unique solvability of two boundary value problems for factorized hyperbolic equations. © Pleiades Publishing, Ltd., 2010.

On the basis of determining equations written out in terms of Laplace invariants, some classes of Bianchi equations of third order similar to well-known classes of hyperbolic equations with two independent variables are ...

© 2017, Pleiades Publishing, Ltd. The existence and uniqueness of the solution of the Darboux problem are proved. The solution of the Darboux problem is constructed in terms of a function similar to the Riemann–Hadamard function.

© 2015, Pleiades Publishing, Ltd. We construct Laplace invariants for an equation with a dominating fourth partial derivative. The determining equations are written out in terms of the Laplace invariants. We single out ...

A composition demonstrating anti-rabies activity was developed on the basis of isoform Sm1 of Serratia marcescens endonuclease. Besides the enzyme the composition contained Haemodes-N, magnesium sulfate and sodium chloride. ...

© A.N. Mironov, 2013. On the basis of defining equations written out in terms of Laplace invariants, we single out some classes of fourth-order Bianchi equations similar to the well-known classes of hyperbolic equations ...

For an equation with four independent variables, we suggest conditions on the coefficients under which the Riemann function is a solution of a system of two integral equations. The result is used to construct the Riemann ...

We construct the explicit Riemann function for a special partial differential equation with leading partial derivative in the n-dimensional space. © 2010 Allerton Press, Inc.

© 2017, Pleiades Publishing, Ltd. For a system of three first-order partial differential equations with three independent variables, we obtain sufficient conditions for one component of the solution to satisfy a third-order ...