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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 732643, 5 pages
http://dx.doi.org/10.1155/2013/732643
Research Article

On Homogeneous Production Functions with Proportional Marginal Rate of Substitution

1Department of Information Technology, Mathematics and Physics, Petroleum-Gas University of Ploieşti, Bulevardul Bucureşti No. 39, 100680 Ploieşti, Romania
2Faculty of Mathematics and Computer Science, Research Center in Geometry, Topology and Algebra, University of Bucharest, Street Academiei No. 14, Sector 1, 70109 Bucharest, Romania
3Department of Mathematical Modelling, Economic Analysis and Statistics, Petroleum-Gas University of Ploieşti, Bulevardul Bucureşti No. 39, 100680 Ploieşti, Romania

Received 11 December 2012; Accepted 10 February 2013

Academic Editor: Gradimir Milovanovic

Copyright © 2013 Alina Daniela Vîlcu and Gabriel Eduard Vîlcu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [11 citations]

The following is the list of published articles that have cited the current article.

  • Bang-Yen Chen, “Solutions to homogeneous Monge-Ampère equations of homothetic functions and their applications to production models in economics,” Journal of Mathematical Analysis and Applications, 2013. View at Publisher · View at Google Scholar
  • Bang-Yen Chen, and Gabriel Eduard Vîlcu, “Geometric classifications of homogeneous production functions,” Applied Mathematics and Computation, vol. 225, pp. 345–351, 2013. View at Publisher · View at Google Scholar
  • Xiaoshu Wang, and Yu Fu, “Some Characterizations of the Cobb-Douglas and CES Production Functions in Microeconomics,” Abstract and Applied Analysis, vol. 2013, pp. 1–6, 2013. View at Publisher · View at Google Scholar
  • M. Evren Aydin, and Mahmut Ergut, “Composite functionswith allen determinants and their applications to production models in economics,” Tamkang Journal of Mathematics, vol. 45, no. 4, pp. 427–435, 2014. View at Publisher · View at Google Scholar
  • Alina Daniela Vîlcu, and Gabriel Eduard Vîlcu, “Some characterizations of the quasi-sum production models with proportional marginal rate of substitution,” Comptes Rendus Mathematique, 2015. View at Publisher · View at Google Scholar
  • Muhittin Evren Aydin, and Adela Mihai, “Classification of Quasi-Sum Production Functions with Allen Determinants,” Filomat, vol. 29, no. 6, pp. 1351–1359, 2015. View at Publisher · View at Google Scholar
  • Alina-Daniela Vîlcu, and Gabriel-Eduard Vîlcu, “A survey on the geometry of production models in economics,” Arab Journal of Mathematical Sciences, 2016. View at Publisher · View at Google Scholar
  • Mahmut Ergut, and Muhittin Evren Aydin, “Isotropic geometry of graph surfaces associatedwith product production functions in economics,” Tamkang Journal of Mathematics, vol. 47, no. 4, pp. 433–443, 2016. View at Publisher · View at Google Scholar
  • Xiaoshu Wang, “A geometric characterization of homogeneous production models in economics,” Filomat, vol. 30, no. 13, pp. 3465–3471, 2016. View at Publisher · View at Google Scholar
  • Gabriel-Eduard Vîlcu, “On a generalization of a class of production functions,” Applied Economics Letters, pp. 1–5, 2017. View at Publisher · View at Google Scholar
  • Yu Fu, and Wei Guo Wang, “Geometric characterizations of quasi-product production models in economics,” Filomat, vol. 31, no. 6, pp. 1601–1609, 2017. View at Publisher · View at Google Scholar