Investigation of infinite-dimensional systems of linear algebraic equations of the second kind in wave guide diffraction problems (Q1176927)
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scientific article; zbMATH DE number 12690
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Investigation of infinite-dimensional systems of linear algebraic equations of the second kind in wave guide diffraction problems |
scientific article; zbMATH DE number 12690 |
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Investigation of infinite-dimensional systems of linear algebraic equations of the second kind in wave guide diffraction problems (English)
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25 June 1992
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The authors introduce generalized solutions to the systems given in the title, prove existence in a special energetic space, and show the boundedness of the inverse operator. Moreover, they prove the convergence (in this energetic space) of the solutions of reduced systems to the exact solution under quite general hypotheses.
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reduction
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generalized solutions
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existence
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boundedness of the inverse operator
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