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Existence Result for a Stochastic Functional Differential System Driven by G-Brownian Motion with Infinite Delay

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BAO, H.—JIANG, D.: Existence and uniqueness of solutions to stochastic functional differential equations with infinite delay in Lp (Ω,Ch), Stoch. Dyn. 9 (2009), no. 4, 597–612. DOI:10.1142/s0219493709002786. Search in Google Scholar

FAIZULLAH, F.: Existence and uniqueness of solutions to SFDEs driven by G-Brownian motion with non-Lipschitz conditions, J. Comput. Anal. Appl. 23 (2017), no. 2, 344–354. Search in Google Scholar

FAIZULLAH, F.—REHMAN, M.U.—SHAHZAD, M.—CHOHAN, I.: On existence and comparison results for solutions to stochastic functional differential equations in the G-framework, J. Comput. Anal. Appl. 23 (2017), 693–702. Search in Google Scholar

KOLÁŘOVÁ, E.: Applications of second order stochastic integral equations to electrical networks, Tatra Mt. Math. Publ. 63 (2015), 163–173. Search in Google Scholar

KOLÁŘOVÁ, E.—BRANĆIK, L.: Stochastic Differential Equations Describing Systems with Coloured Noise, Tatra Mt. Math. Publ. 71 (2018), 107–99. Search in Google Scholar

PENG, S.: Nonlinear Expectations and Stochastic Calculus under Uncertainty, Probability Theory and Stochastic Modelling, Springer-Verlag, Berlin, Heidelberg, 2019. DOI: 10.1007/978-3-662-59903-7 Search in Google Scholar

PENG, S.: Survey on normal distributions, central limit theorem, Brownian motion and the related stochastic calculus under sublinear expectations, Sci. China Ser. A-Math. 52 (2009), 1391–1411. Search in Google Scholar

PENG, S.: Multi-dimensional G-Brownian motion and related stochastic calculus under G-expectation, Stochastic Process. Appl. 118 (2008), no. 12, 2223–2253. Search in Google Scholar

PENG, S.: G-expectation, G-Brownian motion and related stochastic calculus of Itô’s type. In: (Benth et al., eds.) Stochastic Analysis and Applications: The Abel Symposium 2005. Springer-Verlag, Berlin, Heidelberg, 2007, pp. 541–567. Search in Google Scholar

REN, Y.—BI, Q—SAKTHIVEL, R.: Stochastic functional differential equations with infinite delay driven by G-Brownian motion, Math. Methods Appl. Sci. 36 (2013), no. 13, 1746–1759. Search in Google Scholar

REN, Y.—XIA, N.: Existence, uniqueness and stability of the solutions to neutral stochastic functional differential equations with infinite delay, Appl. Math. Comput. 210 (2009), no. 1, 72–79. Search in Google Scholar

REN, Y.—LU, S.—XIA, N.: Remarks on the existence and uniqueness of the solution to stochastic functional differential equations with infinite delay, J. Comput. Appl. Math. 220 (2008), no. 1, 364–372. Search in Google Scholar

WANG, Y.—WU, F.—MAO, X.—ZHU, E.: Advances in the LaSalle-type theorems for stochastic functional differential equations with infinite delay, Discrete Contin. Dyn. Syst. Ser. B 25 (2020), no. 1, 287–300. Search in Google Scholar

WEI, F.—WANG, K.: The existence and uniqueness of the solution for stochastic functional differential equations with infinite delay, J. Math. Anal. Appl. 331 (2007), no. 1, 516–531. Search in Google Scholar

WU, F.—YIN, G.—MEI, H.: Stochastic functional differential equations with infinite delay, J. Differential Equations 262 (2017), no. 3, 1226–1252. Search in Google Scholar

eISSN:
1338-9750
Lingua:
Inglese
Frequenza di pubblicazione:
3 volte all'anno
Argomenti della rivista:
Mathematics, General Mathematics