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 SM ISO690:2012CHEBAN, David. Levitan Almost Periodic Solutions of Linear Partial Differential Equation. In: Proceedings IMCS-55: The Fifth Conference of Mathematical Society of the Republic of Moldova, 28 septembrie - 1 octombrie 2019, Chișinău. Chișinău, Republica Moldova: "VALINEX" SRL, 2019, pp. 36-39. ISBN 978-9975-68-378-4. |
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| Proceedings IMCS-55 2019 | ||||||
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Conferința "Conference of Mathematical Society of the Republic of Moldova" Chișinău, Moldova, 28 septembrie - 1 octombrie 2019 | ||||||
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| Pag. 36-39 | ||||||
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The known Levitan’s Theorem states that the finite-dimensional linear differential equationwith Bohr almost periodic coefficients A(t) and f(t) admits at least one Levitan almost periodic solution if it has a bounded solution. The main assumption in this theorem is the separation among bounded solutions of homogeneous equationsIn this paper we prove that infinite-dimensional linear differential equation (1) with Levitan almost periodic coefficients has a Levitan almost periodic solution, if it has at least one relatively compact solution and the trivial solution of equation (2) is Lyapunov stable. |
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| Cuvinte-cheie almost periodic solution abstract differential equation |
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