Theoretical Mathematics & Applications

Noether Theorem of a Kind of Complete Singular Integral Equation with Hilbert Kernel on Open Arcs

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• Abstract

  We considered a kind of singular integral equation with Hilbert kernel on open arcs lying in a period strip. By regularization method, we transformed the equation into Fredholm equation and then obtained the solvable Noether theorem for this kind of complete singular integral equations with Hilbert kernel on open arcs.