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A new class of multi-dimensional discrete systems with varying structureis introduced. The notions of total solvability, p_t-boundedness, p_t-stability and asymptotic stability are defined. For studying properties of the solutions for the considered systems a curvilinear composition of mappings along discrete curves is used. Total solvability conditions similar to the Frobenius ones are obtained. Sufficient conditions for p_t-stability and asymptotic stability based on the Lyapunov functional method are also established. A two-dimensional system of Volterra equations is presented as an example of equations with varying structure.
Rocznik
Tom
Strony
789--799
Opis fizyczny
Bibliogr. 18 poz.
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autor
- Institute of Mathematics National Academy of Sciences of Belarus 11, Surganov Str., 220072, Minsk, Belarus, dymkov@im.bas-net.by
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bwmeta1.element.baztech-article-BPZ1-0015-0036