Here we survey a few functional methods to existence theory for infinite dimensional stochastic differential equations of the form , , where is a non\-linear maximal monotone operator in a variational couple . The emphasis is put on a new approach of the classical existence result of N. Krylov and B. Rozovski on existence for the infinite dimensional stochastic differential equations which is given here via the theory of nonlinear maximal monotone operators in Banach spaces. A variational approach to this problem is also developed.
Variational approach to nonlinear stochastic differential equations in Hilbert spaces
Barbu, Viorel
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carpathian_2021_37_2_295_309Additional Information
Author(s) | Barbu, Viorel |
---|---|
DOI | https://doi.org/10.37193/CJM.2021.02.15 |
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Authors
Abbas, Mujahid
Acu, Dumitru
Balaj, Mircea
Berinde, Mădălina
Berinde, Vasile
Bărbosu, Dan
Chidume, C. E.
Cho, Yeol Je
Choban, Mitrofan M.
Coroian, Iulian
Cosma, Ovidiu
Cristescu, Gabriela
Diudea, Mircea V.
Fukhar-ud-din, Hafiz
Gaidici, A.
Horvat-Marc, Andrei
Ioanoviciu, Aurel
Khan, Abdul Rahim
Kozma, Lidia Elena
Kumam, Poom
Lungu, Nicolaie
Marin, Marin
Megan, Mihail
Mortici, Cristinel
Mureșan, Anton S.
Mureșan, Viorica
Pişcoran, Laurian-Ioan
Pop, Adina
Pop, Maria Sânziana
Pop, Nicolae
Pop, Ovidiu T.
Pop, Petrică Claudiu
Pop, Vasile
Popa, Dorian
Popa, Valeriu
Pop Sitar, Corina
Păcurar, Mădălina
Păvăloiu, Ion
Rus, Ioan A.
Rusu, Cristian
Sass, Istvan Huba Attila
Suantai, Suthep
Tașcu, Ioana
Yao, Jen-Chih
Zelina, Ioana
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