Solution of a class of the first kind singular integral equation with multiplicative Cauchy kernel
نویسندگان
چکیده
where D = (−1, 1)× (−1, 1) , f(x, y) is a given Hölder continuous function in D, and φ(x, y) is an unknown function. The equation (1) has applications in the theory of aeroelasticity [1]. Note that the equation without logarithmic singularities was many times considered in different classes of functions. In the literature the solutions of the equation (1) in bounded domains [2, 5, 6, 9] as well as unbounded [3, 4, 7, 8, 10], are known for both single and multiple integrals. Let us introduce the function classes that will be used here.
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