Solutions of Some Dual Integral Equations
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چکیده
For certain dual integral equations involving trigonometric functions and the Bessel function of zeroth order as their kernels solution methods are described. These methods exploit the fact that, under certain circumstances of practical importance, one of the integrals of each set of the dual integral equations under consideration possesses a asquare-rooto singularity at the aturning pointo, i.e., at the point where the boundary conditions change abruptly. The ultimate solutions of the dual integral equations are derived by using the well-known inversion formula for some Abel type integral equations.
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