Fundamental solution of a multidimensional difference equation with periodical and matrix coefficients |
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| Authors: | Jan Veit |
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| Affiliation: | (1) Faculty of Electrical Engineering, Dept. of Mathematics, Czech Technical University Prague, Technická 2, CZ-16627 Praha 6, Czech Republic |
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| Abstract: | Summary The multidimensional (partial) difference equation with periodical coefficients is transformed into an equation for a vector sequence. Integral formulae for the vector fundamental solution are developed and some results about its asymptotic properties are explained. As an example, the results are used for a simple difference equation on a hexagonal grid. |
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| Keywords: | Primary: 39A10, 39A11, 40B05 Secondary: 35J05, 65N06, 65R10 |
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