| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 47 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 ISO690:2012CHEBAN, David. An analog of the Cameron-Johnson theorem for linear ℂ-analytic equations in Hilbert space. In: Mathematical Notes, 2000, vol. 68, pp. 790-793. ISSN 0001-4346. DOI: https://doi.org/10.1023/a:1026621019011 |
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  Mathematical Notes |
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| Volumul 68 / 2000 / ISSN 0001-4346 /ISSNe 1573-8876 | ||||||
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| DOI:https://doi.org/10.1023/a:1026621019011 | ||||||
| CZU: 517.9 | ||||||
| Pag. 790-793 | ||||||
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The well-known Cameron-Johnson theorem asserts that the equation ẋ = A(t)x with a recurrent (Bohr almost periodic) matrix A(t) can be reduced by a Lyapunov transformation to the equation ẏ = B(t)y with a skew-symmetric matrix B(t), provided that all solutions of the equation ẋ = A(t)x and of all its limit equations are bounded on the whole line. In the note, a generalization of this result to linear ℂ-analytic equations in a Hilbert space is presented. |
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| Cuvinte-cheie Bohr almost periodic matrix, Cameron-Johnson theorem, dynamical system, Hilbert space, Linear ℂ-analytic differential equation, Lyapunov transformation |
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