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Dynamical systems and variational inequalities
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Cites
Convergence of Probability Measures
Billingsley, P. (1999) · Wiley Series in Probability and Statistics · doi:10.1002/9780470316962 · Cited by 13,910
Equilibrium points in n -person games
Nash, J. F. (1950) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.36.1.48 · Cited by 7,560
Nash, J. (1951) · The Annals of Mathematics · doi:10.2307/1969529 · Cited by 7,002
Convergence of Probability Measures
Kingman, J. F. C., & Billingsley, P. (1969) · Revue de l'Institut International de Statistique / Review of the International Statistical Institute · doi:10.2307/1402124 · Cited by 6,812
Theory of Ordinary Differential Equations
Coddington, E. A., Levinson, N., & Teichmann, T. (1956) · Physics Today · doi:10.1063/1.3059875 · Cited by 6,124
Nash, J. (1989) · Cournot Oligopoly · doi:10.1017/cbo9780511528231.007 · Cited by 5,595
Theory of ordinary differential equations
Platzer, H. L. (1956) · Journal of the Franklin Institute · doi:10.1016/0016-0032(56)91150-4 · Cited by 5,520
Differential equations with discontinuous right hand sides
(1989) · Mathematics and Computers in Simulation · doi:10.1016/0378-4754(89)90171-7 · Cited by 4,893
An Introduction to Variational Inequalities and Their Applications
Kinderlehrer, D., & Stampacchia, G. (2000) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9780898719451 · Cited by 4,433
Markov Processes: Characterization and Convergence.
Abakuks, A., Ethier, S. N., & Kurtz, T. G. (1987) · Biometrics · doi:10.2307/2531839 · Cited by 4,233
Markov Processes: Characterization and Convergence
Ethier, S. N., & Kurtz, T. G. (1986) · Wiley Series in Probability and Statistics · doi:10.1002/9780470316658 · Cited by 3,634
Ordinary Differential Equations
Hartman, P. E. (2002) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9780898719222 · Cited by 3,577
Differential Inclusions: Set-Valued Maps and Viability Theory
Aubin, J.-P., & Cellina, A. (1984) · Grundlehren der mathematischen Wissenschaften · doi:10.1007/978-3-642-69512-4 · Cited by 3,393
Random perturbations of dynamical systems
(1997) · Translations of Mathematical Monographs · doi:10.1090/mmono/161/03 · Cited by 2,584
Random Perturbations of Dynamical Systems
Freidlin, M. I., & Wentzell, A. D. (1984) · Grundlehren der mathematischen Wissenschaften · doi:10.1007/978-1-4684-0176-9 · Cited by 1,622
Studies in the Economics of Transportation.
R., D. J., Beckman, M., McGuire, C. B., Winsten, C. B., & Koopmans, T. (1956) · OR · doi:10.2307/3007560 · Cited by 1,613
Studies in the Economics of Transportation.
Smeed, R. J., Beckmann, M., McGuire, C. B., Winsten, C. B., & Koopmans, T. C. (1957) · The Economic Journal · doi:10.2307/2227641 · Cited by 1,488
Stochastic Approximation Methods for Constrained and Unconstrained Systems
Kushner, H. J., & Clark, D. S. (1978) · Applied Mathematical Sciences · doi:10.1007/978-1-4684-9352-8 · Cited by 1,459
Numerical Analysis of Variational Inequalities.
Falk, R. S., Glowinski, R., Lions, J. L., & Tremoliers, R. (1982) · Mathematics of Computation · doi:10.2307/2007354 · Cited by 1,365
On some non-linear elliptic differential-functional equations
Hartman, P. E., & Stampacchia, G. (1966) · Acta Mathematica · doi:10.1007/bf02392210 · Cited by 1,015
Network economics: a variational inequality approach
(1994) · European Journal of Operational Research · doi:10.1016/0377-2217(94)90433-2 · Cited by 973
Traffic Equilibrium and Variational Inequalities
Dafermos, S. (1980) · Transportation Science · doi:10.1287/trsc.14.1.42 · Cited by 926
Differential Equations--Geometric Theory
Pollard, H., & Lefschetz, S. (1964) · Mathematics of Computation · doi:10.2307/2003326 · Cited by 746
Network Economics: A Variational Inequality Approach
Nagurney, A. (1993) · Advances in computational economics · doi:10.1007/978-94-011-2178-1 · Cited by 739
Self-citationThe Theory of General Economic Equilibrium
Mas‐Colell, A. (1985) · Cambridge University Press eBooks · doi:10.1017/ccol0521265142 · Cited by 693
Pathways to Solutions, Fixed Points, and Equilibria.
Kellogg, R. B., Garcia, C. B., & Zangwill, W. I. (1983) · Mathematics of Computation · doi:10.2307/2007547 · Cited by 578
Fixed Point Theorems with Applications to Economics and Game Theory.
Pemberton, M., & Border, K. C. (1986) · The Economic Journal · doi:10.2307/2233439 · Cited by 515
Stochastic Equations for Diffusion Processes in a Bounded Region
Skorokhod, A. V. (1961) · Theory of Probability & Its Applications · doi:10.1137/1106035 · Cited by 432
Some aspects of variational inequalities
Noor, M. A., Noor, K. I., & Rassias, T. M. (1993) · Journal of Computational and Applied Mathematics · doi:10.1016/0377-0427(93)90058-j · Cited by 388
On the relationship between Nash—Cournot and Wardrop equilibria
Haurie, A. B., & Marcotte, P. (1985) · Networks · doi:10.1002/net.3230150303 · Cited by 329
Ordinary Differential Equations
S., D., & Pontryagin, L. S. (1963) · Mathematics of Computation · doi:10.2307/2003873 · Cited by 288
An iterative scheme for variational inequalities
Dafermos, S. C. (1983) · Mathematical Programming · doi:10.1007/bf02591891 · Cited by 278
On lipschitz continuity of the solution mapping to the skorokhod problem, with applications
Dupuis, P., & Ishii, H. (1991) · Stochastics and Stochastic Reports · doi:10.1080/17442509108833688 · Cited by 255
Self-citationThe general multimodal network equilibrium problem with elastic demand
Dafermos, S. C. (1982) · Networks · doi:10.1002/net.3230120105 · Cited by 244
A new look at static spatial price equilibrium models
Florian, M., & Los, M. (1982) · Regional Science and Urban Economics · doi:10.1016/0166-0462(82)90008-4 · Cited by 183
The Theory of Oligopoly with Multi-Product Firms
Okuguchi, K., & Szidarovszky, F. (1999) · Springer eBooks · doi:10.1007/978-3-642-60169-9 · Cited by 180
SDEs with Oblique Reflection on Nonsmooth Domains
Dupuis, P. G., & Ishii, H. (1993) · The Annals of Probability · doi:10.1214/aop/1176989415 · Cited by 146
Self-citationThe existence and calculation of traffic equilibria
Smith, M. (1983) · Transportation Research Part B Methodological · doi:10.1016/0191-2615(83)90047-4 · Cited by 104
Dupuis, P. G. (1987) · Stochastics · doi:10.1080/17442508708833451 · Cited by 45
Self-citation
Cited by
Competitive food supply chain networks with application to fresh produce
Yu, M., & Nagurney, A. (2013) · European Journal of Operational Research · doi:10.1016/j.ejor.2012.07.033 · Cited by 334
Self-citation(1996) · doi:10.1007/978-1-4615-2301-7_2 · Cited by 12
Self-citation
Metadata
- Authors
- Dupuis, P., & Nagurney, A.
- Venue
- Annals of Operations Research
- Published
- 1993-02
- Volume
- 44
- Issue
- 1
- Pages
- 7-42
- ISSN
- 0254-5330 (ISSN-L)
- 1572-9338
- OpenAlex
- W2102739878
- Cited by
- 441
- References
- 39
- FWCI
- 9.53
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
