The existence and uniqueness of the solution of an integral equation driven by a \(p\)-semimartin\-gale of special type.
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Publication:1766066
DOI10.1016/S0304-4149(01)00145-4zbMath1059.60068WikidataQ127065577 ScholiaQ127065577MaRDI QIDQ1766066
Publication date: 25 February 2005
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic integrals (60H05)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- The strong p-variation of martingales and orthogonal series
- On the existence, uniqueness, convergence and explosions of solutions of systems of stochastic integral equations
- Existence and uniqueness theorems for fBm stochastic differential equations
- On the convergence of Dirichlet processes
- An approximation of a nonlinear integral equation driven by a function of bounded \(p\)-variation
- Differential equations driven by rough signals. I: An extension of an inequality of L. C. Young
- On the existence of solutions of martingale integral equations
- An inequality of the Hölder type, connected with Stieltjes integration
- La variation d'ordre p des semi-martingales
- On the existence and unicity of solutions of stochastic integral equations
- Stochastic analysis of fractional brownian motions
- Stieltjes integrals of Hölder continuous functions with applications to fractional Brownian motion
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