Abstract
A method is used to solve the Fredholm–Volterra integral equation of the first kind in the space L 2(Ω)×C(0,T) , Ω= (x,y)∈ Ω: x 2+y 2 ⩽a, z=0 and T<∞. The kernel of the Fredholm integral term considered in the generalized potential form belongs to the class C([Ω]×[Ω]), while the kernel of the Volterra integral term is a positive and continuous function which belongs to the class C[0, T). Also in this work the solution of the Fredholm integral equation of the first and second kind with a generalized potential kernel is discussed. Many interesting cases are derived and established from the work.
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