| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
 456 0 |
 SM ISO690:2012CHEBAN, David, LIU, Zhenxin. Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations. In: Journal of Difference Equations and Applications, 2020, nr. 4(269), pp. 3652-3685. ISSN 0022-6198. DOI: https://doi.org/10.1016/j.jde.2020.03.014 |
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 Journal of Difference Equations and Applications |
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| Numărul 4(269) / 2020 / ISSN 0022-6198 /ISSNe 1090-2732 | ||||||
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| DOI:https://doi.org/10.1016/j.jde.2020.03.014 | ||||||
| Pag. 3652-3685 | ||||||
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The paper is dedicated to studying the problem of Poisson stability (in particular stationarity, periodicity, quasi-periodicity, Bohr almost periodicity, Bohr almost automorphy, Birkhoff recurrence, almost recurrence in the sense of Bebutov, Levitan almost periodicity, pseudo-periodicity, pseudo-recurrence, Poisson stability) of solutions for semi-linear stochastic equation dx(t)=(Ax(t)+f(t,x(t)))dt+g(t,x(t))dW(t)(⁎) with exponentially stable linear operator A and Poisson stable in time coefficients f and g. We prove that if the functions f and g are appropriately “small”, then equation (⁎) admits at least one solution which has the same character of recurrence as the functions f and g. We also discuss the asymptotic stability of these Poisson stable solutions. |
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| Cuvinte-cheie Almost automorphic solution, asymptotic stability, Birkhoff recurrent solution, Bohr/Levitan almost periodic solution, Poisson stable solution, quasi-periodic solution, Stochastic differential equation |
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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Ceban, D.N.</dc:creator> <dc:creator>Liu, Z.</dc:creator> <dc:date>2020-08-05</dc:date> <dc:description xml:lang='en'><p>The paper is dedicated to studying the problem of Poisson stability (in particular stationarity, periodicity, quasi-periodicity, Bohr almost periodicity, Bohr almost automorphy, Birkhoff recurrence, almost recurrence in the sense of Bebutov, Levitan almost periodicity, pseudo-periodicity, pseudo-recurrence, Poisson stability) of solutions for semi-linear stochastic equation dx(t)=(Ax(t)+f(t,x(t)))dt+g(t,x(t))dW(t)(⁎) with exponentially stable linear operator A and Poisson stable in time coefficients f and g. We prove that if the functions f and g are appropriately “small”, then equation (⁎) admits at least one solution which has the same character of recurrence as the functions f and g. We also discuss the asymptotic stability of these Poisson stable solutions.</p></dc:description> <dc:identifier>10.1016/j.jde.2020.03.014</dc:identifier> <dc:source>Journal of Difference Equations and Applications 269 (4) 3652-3685</dc:source> <dc:subject>Almost automorphic solution</dc:subject> <dc:subject>asymptotic stability</dc:subject> <dc:subject>Birkhoff recurrent solution</dc:subject> <dc:subject>Bohr/Levitan almost periodic solution</dc:subject> <dc:subject>Poisson stable solution</dc:subject> <dc:subject>quasi-periodic solution</dc:subject> <dc:subject>Stochastic differential equation</dc:subject> <dc:title>Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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