Special version of the subdomain method for a class of integral equations of the third kind in the space of distributions

2014 ◽  
Vol 58 (7) ◽  
pp. 42-47
Author(s):  
N. S. Gabbasov ◽  
S. S. Solov’eva
Keyword(s):  
Integral Equations ◽  
The Third ◽  
Special Version ◽  
Space Of Distributions ◽  
Subdomain Method

scholarly journals Determination of an Unknown Coefficient in the Third Order Pseudoparabolic Equation with Non-Self-Adjoint Boundary Conditions

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Yashar T. Mehraliyev ◽  
Gulshan Kh. Shafiyeva
Keyword(s):  
Boundary Conditions ◽  
Classical Solution ◽  
Integral Equations ◽  
Existence And Uniqueness ◽  
Unknown Coefficient ◽  
Pseudoparabolic Equation ◽  
Third Order ◽  
System Of Integral Equations ◽  
Inverse Boundary ◽  
The Third

The solvability of the inverse boundary problem with an unknown coefficient dependent on time for the third order pseudoparabolic equation with non-self-adjoint boundary conditions is investigated in the present paper. Here we have introduced the definition of the classical solution of the considered inverse boundary value problem, which is reduced to the system of integral equations by the Fourier method. At first, the existence and uniqueness of the solution of the obtaining system of integral equations is proved by the method of contraction mappings; then the existence and uniqueness of the classical solution of the stated problem is proved.

Linear Integral Equations of the Third Kind

1973 ◽  
Vol 4 (4) ◽  
pp. 609-622 ◽  
Author(s):  
G. R. Bart ◽  
R. L. Warnock
Keyword(s):  
Integral Equations ◽  
The Third ◽  
Linear Integral ◽  
Linear Integral Equations
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