On zero points of solutions of the -th order non-linear delay differential equation
Ján Futák (1977)
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
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Ján Futák (1977)
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
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Stefano Bonaccorsi, Marco Fuhrman (1999)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We prove some smoothing properties for the transition semigroup associated to a nonlinear stochastic equation in a Hilbert space. The proof introduces some tools from the Malliavin calculus and is based on a integration by parts formula.
Póvoas, M. (1982)
Portugaliae mathematica
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Fu, Xianlong (2009)
Journal of Inequalities and Applications [electronic only]
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Bakarime Diomande, Lucian Maticiuc (2014)
Open Mathematics
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Our aim is to study the following new type of multivalued backward stochastic differential equation: where ∂φ is the subdifferential of a convex function and (Y t, Z t):= (Y(t + θ), Z(t + θ))θ∈[−T,0] represent the past values of the solution over the interval [0, t]. Our results are based on the existence theorem from Delong Imkeller, Ann. Appl. Probab., 2010, concerning backward stochastic differential equations with time delayed generators.
Barbu, D. (1998)
Portugaliae Mathematica
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