A LINEAR INVERSE PROBLEMFOR A THREE-DIMENSIONAL MIXED-TYPE EQUATION OF THE SECOND KIND, SECOND ORDERWITH SEMI-NONLOCAL BOUNDARY CONDITION IN AN UNBOUNDED PARALLELEPIPED (2024)
                            
                        
                
            
            
                                                            
                                                                                
        
        
    We have investigated the correctness of a linear inverse problem for a three-dimensional second kind, second order mixed-type equation in an unbounded parallelepiped. The existence and uniqueness theorems for a generalized solution to a linear inverse problem for the equation with a semi-nonlocal boundary condition are proved in a certain class of integrable functions. The ε-regularization, a priori estimates, approximation sequences, and Fourier transform methods are applied.
                                                            
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                                Т. 9 № 3 (2024)                            
                        
                                                                                
                                                