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Publications (27)
Article dans des revues
A New Model Making the Transition From Oil to Solar Energy. Séverine Bernard, Alain Pietrus, Watson SAINVIL. A New Model Making the Transition From Oil to Solar Energy. Contemporary mathematics, 2024, pp.1311-1330. ⟨10.37256/cm.5220244027⟩. ⟨hal-05121592⟩
A mathematical model for the study of HIV/AIDS transmission with PrEP coverage increase and parameter estimation using MCMC with a Bayesian approach. Erick Manuel Delgado Moya, Ranses Alfonso Rodriguez, Alain Pietrus. A mathematical model for the study of HIV/AIDS transmission with PrEP coverage increase and parameter estimation using MCMC with a Bayesian approach. Bulletin of Biomathematics, 2024, 2 (2), pp.218-244. ⟨10.59292/bulletinbiomath.2024010⟩. ⟨hal-05121571⟩
Article dans des revues
MATHEMATICAL MODEL FOR THE STUDY OF OBESITY IN A POPULATION AND ITS IMPACT ON THE GROWTH OF DIABETES. Erick Delgado Moya, Alain Pietrus, Séverine Bernard. MATHEMATICAL MODEL FOR THE STUDY OF OBESITY IN A POPULATION AND ITS IMPACT ON THE GROWTH OF DIABETES. Mathematical Modelling and Analysis, 2023, 28 (4), pp.611-635. ⟨10.3846/mma.2023.17510⟩. ⟨hal-05121576⟩
Article dans des revues
Optimal control strategy for the effectiveness of TB treatment taking into account the influence of HIV/AIDS and diabetes. Erick Manuel Delgado Moya, Alain Pietrus, Sergio Muniz Oliva Filho. Optimal control strategy for the effectiveness of TB treatment taking into account the influence of HIV/AIDS and diabetes. Open Journal of Mathematical Sciences, 2022, 6 (1), pp.76-98. ⟨10.30538/oms2022.0179⟩. ⟨hal-05121590⟩
Article dans des revues
Metrically Regular Vector Field and Iterative Processes for Generalized Equations in Hadamard Manifolds. Célia JEAN-ALEXIS, Orizon Ferreira, Alain Pietrus. Metrically Regular Vector Field and Iterative Processes for Generalized Equations in Hadamard Manifolds. Journal of Optimization Theory and Applications, 2017, 175 (3), pp.624 - 651. ⟨10.1007/s10957-017-1195-z⟩. ⟨hal-01660241⟩
Some actions to control e-rumor. Séverine Bernard, Tenissia CESAR, Alain Pietrus. Some actions to control e-rumor. e-Journal of the Caribbean Academy of Sciences, 2017, 9 (1), pp.1-8. ⟨hal-01496538⟩
Article dans des revues
An e-rumour model with control on the spreaders. Séverine Bernard, Gemayqzel Bouza, Alain Pietrus. An e-rumour model with control on the spreaders. Comptes rendus de l'Académie bulgare des Sciences, 2016, 69 (11), pp.1407-1414. ⟨hal-01443821⟩
Ouvrages scientifiques
CARIBBEAN ACADEMY OF SCIENCES 20 th GENERAL ASSEMBLY AND BIENNAL MEETING. Yves Mazabraud, Thomas Forissier, Alain Pietrus, Olivier Gros, Claire Anjou. ). CARIBBEAN ACADEMY OF SCIENCES 20 th GENERAL ASSEMBLY AND BIENNAL MEETING. 2016. ⟨hal-01413318v2⟩
Article dans des revues
An optimal control approach for e-rumor. Alain Pietrus, Gemayqzel Bouza, Séverine Bernard. An optimal control approach for e-rumor. Investigacion Operacionnal, 2015, 36 (2), pp.108-114. ⟨hal-01185666⟩
Local convergence of Exact and Inexact Newton's method for subanalytic variational inclusions. Burnet Steeve, Catherine CABUZEL, Alain Pietrus. Local convergence of Exact and Inexact Newton's method for subanalytic variational inclusions. Revista de Matematica: Teoria y Aplicaciones , 2015, 22 (1), pp.31-47. ⟨hal-01185667⟩
Article dans des revues
Newton-Scant method for functions with values in a cone. Alain Pietrus, Célia JEAN-ALEXIS. Newton-Scant method for functions with values in a cone. Serdica Mathematical Journal, 2013, 39, pp.271-286. ⟨hal-00924150⟩
Communications avec actes
The Euler Method for Linear Control Systems Revisited. Alain Pietrus, Vladimir Veliov, Josef Haunschmied. The Euler Method for Linear Control Systems Revisited. 9-th International Conference, LSSC 2013, 2013, Sozopol, Bulgaria. pp.88-95. ⟨hal-00998121⟩
Article dans des revues
local analysis of a cubically convergent method for variational inclusions. Alain Pietrus, Burnet Steeve. local analysis of a cubically convergent method for variational inclusions. Applicationes Mathematicae, 2011, 38, pp.183-191. ⟨hal-00595929⟩
Communications avec actes
Dengue model described by differential inclusions. Alain Pietrus, Jorge Barrios, Aymée Marrero, Hector de Arazoza, Gonzalo Joya. Dengue model described by differential inclusions. IWANN 2011, 2011, Malaga, Spain. pp.540-547. ⟨hal-00595930⟩
Article dans des revues
Local convergence of Newton's method for subanalytic variational inclusions. Alain Pietrus, Catherine CABUZEL. Local convergence of Newton's method for subanalytic variational inclusions. Positivity, 2008, 12, pp.523-533. ⟨hal-00515738⟩
Article dans des revues
Equivalence of formulations and uniqueness in a T-set for quasi-linear equations with measures as data. Alain Pietrus, Alain Miranville, Jean-Michel Rakotoson. Equivalence of formulations and uniqueness in a T-set for quasi-linear equations with measures as data. Nonlinear Analysis: Theory, Methods and Applications, 2001, 46 (5), pp.609-627. ⟨10.1016/S0362-546X(00)00128-0⟩. ⟨hal-00515760⟩
Article dans des revues
Generalized equations under mild differentiability conditions. Alain Pietrus. Generalized equations under mild differentiability conditions. RACSAM. Real Academia de Ciencias. Serie A, Matemáticas - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2000, 94 (1), pp.15-18. ⟨hal-00515773⟩
Does Newton's method converges uniformly in mild differentiability context?. Alain Pietrus. Does Newton's method converges uniformly in mild differentiability context?. Revista Colombiana de Matemáticas, 2000, 34 (2), pp.49-56. ⟨hal-00515762⟩
The Cahn-Hilliard equation for deformable elastic continua. Alain Pietrus, Maïté Carrive, Alain Miranville. The Cahn-Hilliard equation for deformable elastic continua. Advances in Mathematical Sciences and Applications, 2000, 10 (2), pp.539-569. ⟨hal-00515765⟩
Article dans des revues
Solving triangular algebraic systems by means of simultaneous iterations. Alain Pietrus. Solving triangular algebraic systems by means of simultaneous iterations. Numerical Algorithms, 1999, 20 (4), pp.353-368. ⟨hal-00515774⟩
The Cahn-Hilliard equation for an isotropic continuum. Alain Pietrus, Maïté Carrive, Alain Miranville, Jean-Michel Rakotoson. The Cahn-Hilliard equation for an isotropic continuum. Applied Mathematics Letters, 1999, 12 (2), pp.23-28. ⟨10.1016/S0893-9659(98)00143-8⟩. ⟨hal-00515780⟩
Article dans des revues
Dynamical aspects of a generalized Cahn-Hilliard equation obtained by microforce balance. Alain Miranville, Alain Pietrus, J.M. Rakotoson. M. Rakotoson. Dynamical aspects of a generalized Cahn-Hilliard equation obtained by microforce balance. Asymptotic Analysis, 1998, 16 (3-4), pp.315-345. ⟨10.3233/ASY-1998-288⟩. ⟨hal-00515782⟩
Article dans des revues
Résolution des systèmes triangulaires d'équations algébriques par la méthodes Sym-New. Alain Pietrus, Jean-Pierre Dedieu. Résolution des systèmes triangulaires d'équations algébriques par la méthodes Sym-New. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1993, 316, pp.499-502. ⟨hal-00515788⟩
A New Model Making the Transition From Oil to Solar Energy. Séverine Bernard, Alain Pietrus, Watson SAINVIL. A New Model Making the Transition From Oil to Solar Energy. Contemporary mathematics, 2024, pp.1311-1330. ⟨10.37256/cm.5220244027⟩. ⟨hal-05121592⟩ | |
A mathematical model for the study of HIV/AIDS transmission with PrEP coverage increase and parameter estimation using MCMC with a Bayesian approach. Erick Manuel Delgado Moya, Ranses Alfonso Rodriguez, Alain Pietrus. A mathematical model for the study of HIV/AIDS transmission with PrEP coverage increase and parameter estimation using MCMC with a Bayesian approach. Bulletin of Biomathematics, 2024, 2 (2), pp.218-244. ⟨10.59292/bulletinbiomath.2024010⟩. ⟨hal-05121571⟩ |
MATHEMATICAL MODEL FOR THE STUDY OF OBESITY IN A POPULATION AND ITS IMPACT ON THE GROWTH OF DIABETES. Erick Delgado Moya, Alain Pietrus, Séverine Bernard. MATHEMATICAL MODEL FOR THE STUDY OF OBESITY IN A POPULATION AND ITS IMPACT ON THE GROWTH OF DIABETES. Mathematical Modelling and Analysis, 2023, 28 (4), pp.611-635. ⟨10.3846/mma.2023.17510⟩. ⟨hal-05121576⟩ |
Optimal control strategy for the effectiveness of TB treatment taking into account the influence of HIV/AIDS and diabetes. Erick Manuel Delgado Moya, Alain Pietrus, Sergio Muniz Oliva Filho. Optimal control strategy for the effectiveness of TB treatment taking into account the influence of HIV/AIDS and diabetes. Open Journal of Mathematical Sciences, 2022, 6 (1), pp.76-98. ⟨10.30538/oms2022.0179⟩. ⟨hal-05121590⟩ |
Metrically Regular Vector Field and Iterative Processes for Generalized Equations in Hadamard Manifolds. Célia JEAN-ALEXIS, Orizon Ferreira, Alain Pietrus. Metrically Regular Vector Field and Iterative Processes for Generalized Equations in Hadamard Manifolds. Journal of Optimization Theory and Applications, 2017, 175 (3), pp.624 - 651. ⟨10.1007/s10957-017-1195-z⟩. ⟨hal-01660241⟩ | |
Some actions to control e-rumor. Séverine Bernard, Tenissia CESAR, Alain Pietrus. Some actions to control e-rumor. e-Journal of the Caribbean Academy of Sciences, 2017, 9 (1), pp.1-8. ⟨hal-01496538⟩ |
An e-rumour model with control on the spreaders. Séverine Bernard, Gemayqzel Bouza, Alain Pietrus. An e-rumour model with control on the spreaders. Comptes rendus de l'Académie bulgare des Sciences, 2016, 69 (11), pp.1407-1414. ⟨hal-01443821⟩ |
CARIBBEAN ACADEMY OF SCIENCES 20 th GENERAL ASSEMBLY AND BIENNAL MEETING. Yves Mazabraud, Thomas Forissier, Alain Pietrus, Olivier Gros, Claire Anjou. ). CARIBBEAN ACADEMY OF SCIENCES 20 th GENERAL ASSEMBLY AND BIENNAL MEETING. 2016. ⟨hal-01413318v2⟩ |
An optimal control approach for e-rumor. Alain Pietrus, Gemayqzel Bouza, Séverine Bernard. An optimal control approach for e-rumor. Investigacion Operacionnal, 2015, 36 (2), pp.108-114. ⟨hal-01185666⟩ | |
Local convergence of Exact and Inexact Newton's method for subanalytic variational inclusions. Burnet Steeve, Catherine CABUZEL, Alain Pietrus. Local convergence of Exact and Inexact Newton's method for subanalytic variational inclusions. Revista de Matematica: Teoria y Aplicaciones , 2015, 22 (1), pp.31-47. ⟨hal-01185667⟩ |
Newton-Scant method for functions with values in a cone. Alain Pietrus, Célia JEAN-ALEXIS. Newton-Scant method for functions with values in a cone. Serdica Mathematical Journal, 2013, 39, pp.271-286. ⟨hal-00924150⟩ |
The Euler Method for Linear Control Systems Revisited. Alain Pietrus, Vladimir Veliov, Josef Haunschmied. The Euler Method for Linear Control Systems Revisited. 9-th International Conference, LSSC 2013, 2013, Sozopol, Bulgaria. pp.88-95. ⟨hal-00998121⟩ |
local analysis of a cubically convergent method for variational inclusions. Alain Pietrus, Burnet Steeve. local analysis of a cubically convergent method for variational inclusions. Applicationes Mathematicae, 2011, 38, pp.183-191. ⟨hal-00595929⟩ |
Dengue model described by differential inclusions. Alain Pietrus, Jorge Barrios, Aymée Marrero, Hector de Arazoza, Gonzalo Joya. Dengue model described by differential inclusions. IWANN 2011, 2011, Malaga, Spain. pp.540-547. ⟨hal-00595930⟩ |
Local convergence of Newton's method for subanalytic variational inclusions. Alain Pietrus, Catherine CABUZEL. Local convergence of Newton's method for subanalytic variational inclusions. Positivity, 2008, 12, pp.523-533. ⟨hal-00515738⟩ |
Equivalence of formulations and uniqueness in a T-set for quasi-linear equations with measures as data. Alain Pietrus, Alain Miranville, Jean-Michel Rakotoson. Equivalence of formulations and uniqueness in a T-set for quasi-linear equations with measures as data. Nonlinear Analysis: Theory, Methods and Applications, 2001, 46 (5), pp.609-627. ⟨10.1016/S0362-546X(00)00128-0⟩. ⟨hal-00515760⟩ |
Generalized equations under mild differentiability conditions. Alain Pietrus. Generalized equations under mild differentiability conditions. RACSAM. Real Academia de Ciencias. Serie A, Matemáticas - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2000, 94 (1), pp.15-18. ⟨hal-00515773⟩ | |
Does Newton's method converges uniformly in mild differentiability context?. Alain Pietrus. Does Newton's method converges uniformly in mild differentiability context?. Revista Colombiana de Matemáticas, 2000, 34 (2), pp.49-56. ⟨hal-00515762⟩ | |
The Cahn-Hilliard equation for deformable elastic continua. Alain Pietrus, Maïté Carrive, Alain Miranville. The Cahn-Hilliard equation for deformable elastic continua. Advances in Mathematical Sciences and Applications, 2000, 10 (2), pp.539-569. ⟨hal-00515765⟩ |
Solving triangular algebraic systems by means of simultaneous iterations. Alain Pietrus. Solving triangular algebraic systems by means of simultaneous iterations. Numerical Algorithms, 1999, 20 (4), pp.353-368. ⟨hal-00515774⟩ | |
The Cahn-Hilliard equation for an isotropic continuum. Alain Pietrus, Maïté Carrive, Alain Miranville, Jean-Michel Rakotoson. The Cahn-Hilliard equation for an isotropic continuum. Applied Mathematics Letters, 1999, 12 (2), pp.23-28. ⟨10.1016/S0893-9659(98)00143-8⟩. ⟨hal-00515780⟩ |
Dynamical aspects of a generalized Cahn-Hilliard equation obtained by microforce balance. Alain Miranville, Alain Pietrus, J.M. Rakotoson. M. Rakotoson. Dynamical aspects of a generalized Cahn-Hilliard equation obtained by microforce balance. Asymptotic Analysis, 1998, 16 (3-4), pp.315-345. ⟨10.3233/ASY-1998-288⟩. ⟨hal-00515782⟩ |
Résolution des systèmes triangulaires d'équations algébriques par la méthodes Sym-New. Alain Pietrus, Jean-Pierre Dedieu. Résolution des systèmes triangulaires d'équations algébriques par la méthodes Sym-New. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1993, 316, pp.499-502. ⟨hal-00515788⟩ |
Alain PIETRUS (PU)
Mathématiques
maths-info
RC08