Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
43 0 |
Căutarea după subiecte similare conform CZU |
517.9 (245) |
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243) |
SM ISO690:2012 GERKO, Anatoly. Asymptotically recurrent solutions of β-differential equations. In: Mathematical Notes, 2000, vol. 67, pp. 707-717. ISSN 0001-4346. DOI: https://doi.org/10.1007/bf02675624 |
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Mathematical Notes | ||||||
Volumul 67 / 2000 / ISSN 0001-4346 /ISSNe 1573-8876 | ||||||
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DOI:https://doi.org/10.1007/bf02675624 | ||||||
CZU: 517.9 | ||||||
Pag. 707-717 | ||||||
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In the paper methods from the theory of extensions of dynamical systems are used to study β-differential equations whose solutions possess the uniqueness property and depend continuously on the initial data and on the right-hand side of the equation. The Zhikov-Bronshtein theorems concerning asymptotically almost periodic solutions of ordinary differential equations are extended to β-differential equations (in particular, to total differential equations). Along with asymptotic almost periodicity, we also consider asymptotic recurrence, weak asymptotic distality, and asymptotic distality. To the equations we associate dynamical systems generated by the space of the right-hand sides and the spaces of the solutions and of the initial data of solutions of the equation. Generally, the phase semigroups of the dynamical systems are not locally compact. |
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Cuvinte-cheie Almost periodic functions, Distal functions, dynamical system, Recurrent functions, transformation semigroup, β-differential equations |
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