Avram, Florin; Freddi, Lorenzo; Goreac, Dan; Li, Juan; Li, Junsong Controlled compartmental models with time-varying population: normalization, viability and comparison. (English) Zbl 1522.92058 J. Optim. Theory Appl. 198, No. 3, 1019-1048 (2023). MSC: 92D30 35D40 60J85 PDFBibTeX XMLCite \textit{F. Avram} et al., J. Optim. Theory Appl. 198, No. 3, 1019--1048 (2023; Zbl 1522.92058) Full Text: DOI
Jusselin, Paul; Mastrolia, Thibaut Scaling limit for stochastic control problems in population dynamics. (English) Zbl 1512.92070 Appl. Math. Optim. 88, No. 1, Paper No. 14, 52 p. (2023). MSC: 92D25 93E20 49J45 PDFBibTeX XMLCite \textit{P. Jusselin} and \textit{T. Mastrolia}, Appl. Math. Optim. 88, No. 1, Paper No. 14, 52 p. (2023; Zbl 1512.92070) Full Text: DOI arXiv
Wang, Zong; Zhang, Qimin Optimal vaccination strategy for a mean-field stochastic susceptible-infected-vaccinated system. (English) Zbl 1505.92126 Int. J. Biomath. 16, No. 1, Article ID 2250061, 27 p. (2023). MSC: 92C60 60H30 49N80 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{Q. Zhang}, Int. J. Biomath. 16, No. 1, Article ID 2250061, 27 p. (2023; Zbl 1505.92126) Full Text: DOI
Freddi, Lorenzo; Goreac, Dan; Li, Juan; Xu, Boxiang SIR epidemics with state-dependent costs and ICU constraints: a Hamilton-Jacobi verification argument and dual LP algorithms. (English) Zbl 1493.49030 Appl. Math. Optim. 86, No. 2, Paper No. 23, 31 p. (2022). MSC: 49L12 49L25 92D30 65K15 90C05 90C46 PDFBibTeX XMLCite \textit{L. Freddi} et al., Appl. Math. Optim. 86, No. 2, Paper No. 23, 31 p. (2022; Zbl 1493.49030) Full Text: DOI arXiv
Hocquet, Antoine; Vogler, Alexander Optimal control of mean field equations with monotone coefficients and applications in neuroscience. (English) Zbl 1485.93630 Appl. Math. Optim. 84, Suppl. 2, 1925-1968 (2021). MSC: 93E20 92B20 65K10 49N80 PDFBibTeX XMLCite \textit{A. Hocquet} and \textit{A. Vogler}, Appl. Math. Optim. 84, 1925--1968 (2021; Zbl 1485.93630) Full Text: DOI arXiv
Darbon, Jérôme; Langlois, Gabriel P.; Meng, Tingwei Overcoming the curse of dimensionality for some Hamilton-Jacobi partial differential equations via neural network architectures. (English) Zbl 1445.35119 Res. Math. Sci. 7, No. 3, Paper No. 20, 50 p. (2020). MSC: 35F21 35F25 92C20 35R30 PDFBibTeX XMLCite \textit{J. Darbon} et al., Res. Math. Sci. 7, No. 3, Paper No. 20, 50 p. (2020; Zbl 1445.35119) Full Text: DOI arXiv
Goreac, Dan Border avoidance: necessary regularity for coefficients and viscosity approach. (English) Zbl 1430.92033 SIAM J. Control Optim. 57, No. 6, 4175-4204 (2019). Reviewer: Irina Ioana Mohorianu (Oxford) MSC: 92C42 92D10 49L25 60J70 PDFBibTeX XMLCite \textit{D. Goreac}, SIAM J. Control Optim. 57, No. 6, 4175--4204 (2019; Zbl 1430.92033) Full Text: DOI arXiv Link
E, Weinan; Han, Jiequn; Li, Qianxiao A mean-field optimal control formulation of deep learning. (English) Zbl 1421.49021 Res. Math. Sci. 6, No. 1, Paper No. 10, 41 p. (2019). MSC: 49K21 92B20 PDFBibTeX XMLCite \textit{W. E} et al., Res. Math. Sci. 6, No. 1, Paper No. 10, 41 p. (2019; Zbl 1421.49021) Full Text: DOI arXiv
Huang, Zaitang; Cao, Junfei Periodic measures of mean-field stochastic predator-prey system. (English) Zbl 1417.92133 Discrete Dyn. Nat. Soc. 2018, Article ID 3584354, 21 p. (2018). MSC: 92D25 60H10 34C23 PDFBibTeX XMLCite \textit{Z. Huang} and \textit{J. Cao}, Discrete Dyn. Nat. Soc. 2018, Article ID 3584354, 21 p. (2018; Zbl 1417.92133) Full Text: DOI
Ducrot, Arnaud; Magal, Pierre; Seydi, Ousmane Singular perturbation for an abstract non-densely defined Cauchy problem. (English) Zbl 1387.34089 J. Evol. Equ. 17, No. 3, 1089-1128 (2017). Reviewer: Vasile Dragan (Bucureşti) MSC: 34E15 34K26 34G20 35B25 47D62 92D25 34A12 PDFBibTeX XMLCite \textit{A. Ducrot} et al., J. Evol. Equ. 17, No. 3, 1089--1128 (2017; Zbl 1387.34089) Full Text: DOI
Goreac, Dan; Rotenstein, Eduard Infection time in multistable gene networks. A backward stochastic variational inequality with nonconvex switch-dependent reflection approach. (English) Zbl 1361.92028 Set-Valued Var. Anal. 24, No. 4, 707-734 (2016). MSC: 92C42 60H10 60G55 60J75 93E03 92C40 PDFBibTeX XMLCite \textit{D. Goreac} and \textit{E. Rotenstein}, Set-Valued Var. Anal. 24, No. 4, 707--734 (2016; Zbl 1361.92028) Full Text: DOI Link
Diallo, Tidiane; Goreac, Dan Controllability metrics on networks with linear decision process-type interactions and multiplicative noise. (English) Zbl 1351.93016 SIAM J. Control Optim. 54, No. 6, 3126-3151 (2016). MSC: 93B05 60J05 90C40 93E03 92C42 PDFBibTeX XMLCite \textit{T. Diallo} and \textit{D. Goreac}, SIAM J. Control Optim. 54, No. 6, 3126--3151 (2016; Zbl 1351.93016) Full Text: DOI arXiv
Goreac, Dan; Grosu, Alexandra Claudia; Rotenstein, Eduard-Paul Approximate and approximate null-controllability of a class of piecewise linear Markov switch systems. (English) Zbl 1347.93052 Syst. Control Lett. 96, 118-123 (2016). MSC: 93B05 60J75 92D10 PDFBibTeX XMLCite \textit{D. Goreac} et al., Syst. Control Lett. 96, 118--123 (2016; Zbl 1347.93052) Full Text: DOI arXiv
Goreac, Dan Asymptotic control for a class of piecewise deterministic Markov processes associated to temperate viruses. (English) Zbl 1346.49067 SIAM J. Control Optim. 53, No. 4, 1860-1891 (2015). MSC: 49N99 49J55 49K45 60J25 93E20 49L25 90C05 60G57 92C42 PDFBibTeX XMLCite \textit{D. Goreac}, SIAM J. Control Optim. 53, No. 4, 1860--1891 (2015; Zbl 1346.49067) Full Text: DOI arXiv
Goreac, Dan Viability, invariance and reachability for controlled piecewise deterministic Markov processes associated to gene networks. (English) Zbl 1319.49040 ESAIM, Control Optim. Calc. Var. 18, No. 2, 401-426 (2012). MSC: 49L25 60J25 92C42 93E03 93E20 PDFBibTeX XMLCite \textit{D. Goreac}, ESAIM, Control Optim. Calc. Var. 18, No. 2, 401--426 (2012; Zbl 1319.49040) Full Text: DOI arXiv EuDML