On Some Boundary Value Problems for an Ultrahyperbolic Equation

1998 ◽  
Vol 5 (4) ◽  
pp. 341-360
Author(s):  
S. Kharibegashvili
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Type Problem ◽  
Characteristic Problem ◽  
Correct Formulation ◽  
Weighted Functional Spaces ◽  
Ultrahyperbolic Equation ◽  
Darboux Type Problem

Abstract The correct formulation of a characteristic problem and a Darboux type problem in the special weighted functional spaces for an ultrahyperbolic equation is investigated.

scholarly journals HYPERBOLIC MODEL OF NON -STATIONARY THERMAL CONDUCTIVITY

2016 ◽  
Vol 11 (2) ◽  
pp. 74-80 ◽  
Author(s):  
E. M. Kartashov ◽  
I. V. Antonova
Keyword(s):  
Thermal Conductivity ◽  
Boundary Value Problems ◽  
Analytical Solutions ◽  
Boundary Value ◽  
Operational Calculus ◽  
Hyperbolic Model ◽  
Complex Class ◽  
Transport Models ◽  
Exact Analytical Solutions ◽  
Correct Formulation

The article presents fundamentally new results on the analytical theory of thermal conductivity for hyperbolic transport models. The questions of the correct formulation of boundary value problems are considered. A technique for finding exact analytical solutions of a rather complex class of boundary value problems based on the method of Green's functions and operational calculus is developed.

On a Darboux Type Multidimensional Problem for Second-Order Hyperbolic Systems

1996 ◽  
Vol 3 (4) ◽  
pp. 363-378
Author(s):  
S. Kharibegashvili
Keyword(s):  
Sobolev Space ◽  
Boundary Conditions ◽  
Hyperbolic Systems ◽  
Second Order ◽  
Type Problem ◽  
Correct Formulation ◽  
Multidimensional Problem ◽  
Darboux Type Problem

Abstract The correct formulation of a Darboux type multidimensional problem for second-order hyperbolic systems is investigated. The correct formulation of such a problem in the Sobolev space is proved for temporal type surfaces on which the boundary conditions of a Darboux type problem are given.

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