Add to ORKG© 2020, Pleiades Publishing, Ltd. Abstract: The main subjects of the present paper are the Goursat and Darboux boundary-value problems for hyperbolic systems with two independent variables. We show that obtained by T.V. Chekmarev in terms of successive approximations formulas for solution of the Goursat problem can be built also by the Riemann method, work out an analog of the Riemann–Hadamard method for the system, and introduce its Riemann–Hadamard matrix. We solve the Darboux problem in terms of the introduced matrix
We discuss possibilities of application of Numerical Analysis methods toproving computability, in th...
The investigation is concerned with the equations of hyperbolic and parabolic-hyperbolic types of th...
AbstractWe deal with the characteristic initial value problem for a hyperbolic differential equation...
The main subjects of the present paper are the Goursat and Darboux boundary-value problems for hyper...
The article considers second-order system of linear stochastic partial differential equations of hyp...
We consider characteristic problems with normal derivatives for a hyperbolic systemwith two independ...
We consider characteristic problems with normal derivatives for a hyperbolic systemwith two independ...
We consider characteristic problems with normal derivatives for a hyperbolic systemwith two independ...
itions for hyperbolic systems of partial differential equations. The proposed approach is based on t...
Abstract: For a linear inhomogeneous system of first-order partial differential equations with three...
The classification of higher and second-order mathematical physics equations is fully described in t...
AbstractWe derive an a priori estimate for a finite difference scheme for a second order hyperbolic ...
The aim of the investigation is to find sufficient conditions of existence of the fundamental system...
For the scalar linear hyperbolic partial differential equations (PDEs) in two independent variables ...
We consider the system of n partial differential equations in matrix notation (the system of Euler–P...
We discuss possibilities of application of Numerical Analysis methods toproving computability, in th...
The investigation is concerned with the equations of hyperbolic and parabolic-hyperbolic types of th...
AbstractWe deal with the characteristic initial value problem for a hyperbolic differential equation...
The main subjects of the present paper are the Goursat and Darboux boundary-value problems for hyper...
The article considers second-order system of linear stochastic partial differential equations of hyp...
We consider characteristic problems with normal derivatives for a hyperbolic systemwith two independ...
We consider characteristic problems with normal derivatives for a hyperbolic systemwith two independ...
We consider characteristic problems with normal derivatives for a hyperbolic systemwith two independ...
itions for hyperbolic systems of partial differential equations. The proposed approach is based on t...
Abstract: For a linear inhomogeneous system of first-order partial differential equations with three...
The classification of higher and second-order mathematical physics equations is fully described in t...
AbstractWe derive an a priori estimate for a finite difference scheme for a second order hyperbolic ...
The aim of the investigation is to find sufficient conditions of existence of the fundamental system...
For the scalar linear hyperbolic partial differential equations (PDEs) in two independent variables ...
We consider the system of n partial differential equations in matrix notation (the system of Euler–P...
We discuss possibilities of application of Numerical Analysis methods toproving computability, in th...
The investigation is concerned with the equations of hyperbolic and parabolic-hyperbolic types of th...
AbstractWe deal with the characteristic initial value problem for a hyperbolic differential equation...