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Publications
- V. Martinet, P. Gajardo, and M. De Lara, Bargaining on monotonic social choice environments. To be published in Theory and Decision.
- P. Gajardo and A. Seeger, Monotonicity results for non-autonomous dynamical systems: The case of a general convex cone. Proceedings of the American Mathematical Society 151 (2023): 771--778.
- D. Vicencio, O. Vasilieva and P. Gajardo, Monotonicity properties arising in a simple model of Wolbachia invasion for wild mosquito populations. Mathematical Biosciences and Engineering 20 (2023) (1): 1148--1175.
- P. Gajardo, V. Riquelme and D. Vicencio, Optimal control of diseases in prison populations through screening policies of new inmates. SIAM Journal on Control and Optimization 60 (2022) (2): 10.1137/20M1378582.
- P. Gajardo, C. Hermosilla and A. Picarelli, On the set of robust sustainable thresholds. Natural Resource Modeling 34 (2021) (4): e12334.
- C. Castillo-Laborde, T. de Wolff, P. Gajardo, R. Lecaros, G. Olivar and H. Ramirez, Assessment of event-triggered policies of nonpharmaceutical interventions based on epidemiological indicators. Journal of Mathematical Biology 83 (2021): 42.
- P. Gajardo and A. Seeger, Cross-nonnegativity and monotonicity analysis of nonlinear dynamical systems. Journal of Differential Equations 300 (2021) (5): 33--52.
- P. Gajardo and C. Hermosilla, Pareto fronts of the set of sustainable thresholds for constrained control systems. Applied Mathematics & Optimization 83 (2021): 1103--1121.
- C. Castillo-Laborde, P. Gajardo, M.Nájera-De Ferrari, I. Matute, M. Hirmas-Adauy, P. Aguirre, H. Ramirez, D. Ramirez, X. Aguilera, Modelling cost-effectiveness of syphilis detection strategies in prisoners: exploratory exercise in a Chilean male prison. Cost Effectiveness and Resource Allocation 19 (2021): 5.
- M. De Lara, P. Gajardo, and D. Vicencio, Comparison theorem for viability kernels via conic preorders. Systems and Control Letters 145 (2020): 104799.
- L. Doyen and P. Gajardo, Sustainability standards, multi-criteria maximin and viability. Natural Resource Modeling 33 (2020) (3): e12250.
- R. Correa, P. Gajardo, and L. Thibault, Various Lipschitz like properties for functions and sets II: Subdifferential and normal characterizations. Journal of Convex Analysis 27 (2020) (1): 239--278.
- P. Gajardo and C. Hermosilla, The viability kernel of dynamical systems with mixed constraints: A level-set approach. Systems and Control Letters 127 (2019): 6--12.
- A. Donoso-Bravo, P. Gajardo, M. Sebbah, and D. Vicencio, Comparison of performance in an anaerobic digestion process: one-reactor vs two-reactor configurations. Mathematical Biosciences and Engineering 16 (2019) (4): 2447--2465.
- T. Bayen and P. Gajardo, On the steady state optimization of the biogas production in a two-stage anaerobic digestion model. Journal of Mathematical Biology 78 (2019) (4): 1067--1087.
- P. Gajardo, M. Olivares, and H. Ramirez C., Methods for the sustainable rebuilding of overexploited natural resources: A viability approach. Environmental Modeling & Assessment 23 (2018) (6): 713--727.
- T. Bayen, O. Cots, and P. Gajardo, Analysis of an optimal control problem related to the anaerobic digestion process. Journal of Optimization Theory and Applications 178 (2018) (2): 9--18.
- E. Barrios, P. Gajardo, and O. Vasilieva, Sustainable thresholds for cooperative epidemiological models. Mathematical Biosciences 302 (2018) (2): 627--659.
- P. Gajardo, C. Morales, and J. Peypouquet, Monotonicity beyond Minty and Kato on locally convex spaces. Journal of Mathematical Analysis and Applications 435 (2016): 1701--1709.
- J. Rodriguez, H. Ramírez C., P. Gajardo, and A. Rapaport, Optimality of affine control system of several species in competition on a sequential batch reactor. International Journal of Control, 87 (2014) (9):1877--1885.
- P. Gajardo, H. Ramírez C., and J. Rodriguez, Tools for improving feeding strategies in a SBR with several species. Bioprocess and Biosystems Engineering 37 (2014) (8): 63--70.
- P. Gajardo and A. Seeger, Equilibrium problems involving the Lorentz cone. Journal of Global Optimization 58 (2014): 321--340.
- R. Correa, P. Gajardo, L. Thibault, and D. Zagrodny, Existence of minimizers on drops. SIAM Journal on Optimization 23 (2013) (2): 1154--1166.
- T. Bayen, P. Gajardo and F. Mairet, Optimal synthesis for the minimum time control problems of fed-batch bioprocesses for growth functions with two maxima. Journal of Optimization Theory and Applications 158 (2013) (2): 521--553.
- P. Gajardo and A. Seeger, Solving inverse cone-constrained eigenvalue problems. Numerische Mathematik 123 (2013) (2): 309--331.
- P. Gajardo and A. Seeger, Reconstructing a matrix from a partial sampling of Pareto eigenvalues. Computational Optimization and Applications 51 (2012) (3):1119--1135.
- P. Gajardo, J. Harmand, H. Ramírez C., and A. Rapaport, Minimal-time bioremediation of natural water resources. Automatica 47 (2011) (8): 1764--1769.
- P. Gajardo, J. Peña-Torres, and H. Ramírez C., Harvesting economic models and catch-to-biomass dependence: The case of small pelagic fish. Natural Resource Modeling 24 (2011) (2): 268--296.
- M. De Lara, P. Gajardo, and H. Ramírez C., Viable states for monotone harvest models. Systems and Control Letters 60 (2011) (3): 192--197.
- R. Correa, P. Gajardo, and L. Thibault, Various Lipschitz like properties for functions and sets I: Directional derivative and tangential characterizations. SIAM Journal on Optimization 20 (2010) (4): 1766--1785.
- P. Gajardo, F. Mazenc, and H. Ramírez C., Competitive
exclusion principle in a model of chemostat with delays. Dynamics of Continuous, Discrete and Impulsive Systems Ser. A 16 (2009) (4a): 253--272.
- R. Correa, P. Gajardo, and L. Thibault, Links between
directional derivatives through multidirectional mean value
inequalities. Mathematical Programming Ser. B 116 (2009) (1-2): 55--77.
- P. Gajardo, H. Ramírez C., and A. Rapaport, Minimal time sequential batch reactors with bounded and impulse controls for one or more species. SIAM Journal on Control and Optimization 47 (2008) (6): 2827-2856.
- R. Correa, P. Gajardo, and L. Thibault, Subdifferential
representation formula and subdifferential criteria for the
behavior of nonsmooth functions. Nonlinear Analysis 65 (2006)
(4): 864-891.
- P. Gajardo and A. Seeger, Higher-order spectral analysis
and weak asymptotic stability of convex processes. Journal of Mathematical Analysis and Applications 318 (2006) (1): 155-174.
- F. Alvarez, R. Correa, and P. Gajardo, Inner estimation of
the eigenvalue set and exponential series solutions to
differential inclusions. Journal of Convex Analysis 12 (2005) (1) :
1-11.
- R. Correa and P. Gajardo, Eigenvalues of Set-valued
operators in Banach spaces. Set-Valued Analysis 13 (2005) (1) :
1-19.
- P. Gajardo and A. Seeger, Epsilon-eigenvalues of
multivalued operators. Set-Valued Analysis 11 (2003) (3) :
273--296.
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