Abstract
In this paper, we discuss the solution of mixed integral equation with generalized potential function in position and the kernel of Volterra integral term in time. The solution will be discussed in the space L_{2} (Omega ) times C[0,T],0 le t le T < 1, where Omega is the domain of position and t is the time. The mixed integral equation is established from the axisymmetric problems in the theory of elasticity. Many special cases when kernel takes the potential function, Carleman function, the elliptic function and logarithmic function will be established.
Highlights
The integral equations have been investigated from different mathematical areas of sciences and technology [1,2,3,4,5,6,7,8,9]
In [3], the authors considered a mixed integral equation under certain conditions, and they obtained the solution in a series form
In [24] the authors discussed the behavior of solution of mixed integral equation with generalized function
Summary
The integral equations have been investigated from different mathematical areas of sciences and technology [1,2,3,4,5,6,7,8,9]. Many authors have been established different analytic and numeric methods. For numerical method one can see [16,17,18,19,20,21,22,23]. In [3], the authors considered a mixed integral equation under certain conditions, and they obtained the solution in a series form. In [23], the integral equation with potential kernel is studied. In [24] the authors discussed the behavior of solution of mixed integral equation with generalized function
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