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GENERALIZED KERNEL AND MIXED INTEGRAL EQUATION OF FREDHOLM - VOLTERRA TYPE

R. T. Matoog

In this work, the existence of a unique solution of mixed integral equation (MIE) of the second kind is considered, in the space ( ) [0, ] p L  C T , where  in the domain of integration and t [0,T ] is the time. The kernel of position is considered in a generalized potential form. A numerical method is used to obtain system of Fredholm integral equations (SFIEs). The existence of a unique solution of this system can be proved. Finally, many special cases are considered and established from the work and some numerical results are considered