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Vietnam Journal of Mathematics 38:4 (2010) 467-483

 

Solvability of a System of Dual Integral Equations Involving Fourier Transforms

Nguyen Van Ngoc and Nguyen Thi Ngan

Abstract. The aim of the present work is to consider the solvability and the solution method of a system of dual integral equations involving Fourier transforms occurring in mixed boundary value problems for an elastic strip. The uniqueness and existence theorems are proved. A method for reducing the system of dual integral equations to infinte systems of linear algebraic equations is proposed.

2000 Mathematics Subject Classification: 42A38, 45H05, 46F05, 46F10, 47G30.

Keywords: Fourier transform, integral equations, mixed boundary value problems of elasticity.

 

 

 

 

 

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