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Solvability of some classes of systems of dual integral equations involving Fourier transforms. (English) Zbl 1328.45007

The authors continue traditions of the scientific school of Professor G. Ya. Popov. The existence and uniqueness theorems are proved for systems of dual integral equations involving Fourier transforms of generalized functions. The efficiency of the proposed theory is demonstrated by application to mixed boundary value problems for the harmonic and biharmonic equations of an elastic strip by reduction to systems of dual integral equations.

MSC:

45F10 Dual, triple, etc., integral and series equations
42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
47G30 Pseudodifferential operators
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