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  • Authors: TS.Nguyễn Văn Ngọc; Mã Đình Trên (2014)

  • The aim of the present work is to consider a mixed boundary value problem in a strip related to cracks of fracture materials. By the Fourier transform, the problem are reduced to studying a dual integral equations on one edge of the strip. The uniqueness and existence theorems of solution of dual integral equation are established in appropriate Sobolev spaces. A method for reducing the dual integral equation to a hyper singular integral equation of second order is also proposed.