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Publications (27)


Article dans des revues


High order discrete approximations to Mayer's problems for linear systems. Alain Pietrus, Teresa Scarinci, Vladimir M. Veliov. Veliov. High order discrete approximations to Mayer's problems for linear systems. SIAM Journal on Control and Optimization, 2018, 56 (1), pp.102-119. ⟨hal-01848630⟩


Article dans des revues


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⟩
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⟩


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: Planning and Abstracts book. 2016. ⟨hal-01413318v2⟩


Article dans des revues


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⟩
An optimal control approach for e-rumor. Séverine Bernard, Gemayqzel Bouza, Alain Pietrus. An optimal control approach for e-rumor. Revista Investigacion Operacional, 2015, 36 (2), pp.108-114. ⟨hal-01312465⟩
Diabetes, complications and limit cycles. Séverine Bernard, Silvère Paul NUIRO, Alain Pietrus. Diabetes, complications and limit cycles. Applied Mathematics E - Notes, 2015, 15, pp.197-206. ⟨hal-01312455⟩


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⟩


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


On the discretization of Switched Systems : Error Analysis. Alain Pietrus, Vladimir Veliov. On the discretization of Switched Systems : Error Analysis.. Systems and Control Letters, 2009, 58, pp.395-399. ⟨hal-00515728⟩

Communications avec actes


HIV model described by differential inclusions. Alain Pietrus, Hector Arazoza, Jorge Barrios, Aymée Marrero. HIV model described by differential inclusions. 10th International Work-Conference on Artificial Neural Network, IWANN 2009, 2009, Spain. pp.909-916. ⟨hal-00515730⟩


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


Solving variational inclusions by a multipoint iteration method under center-Holder continuity conditions. Alain Pietrus, Catherine CABUZEL. Solving variational inclusions by a multipoint iteration method under center-Holder continuity conditions. Applicationes Mathematicae, 2007, 34 (4), pp.493-503. ⟨hal-00515740⟩


Article dans des revues


A semilocal convergence of a secant-type method for solving generalized equations. Alain Pietrus, Saïd Hilout. A semilocal convergence of a secant-type method for solving generalized equations. Positivity, 2006, 10 (4), pp.693-700. ⟨hal-00515743⟩


Article dans des revues


Weakly coupled dynamical system and applications. Alain Pietrus, Maïté Carrive, Alain Miranville, Jean-Michel Rakotoson. Weakly coupled dynamical system and applications. Asymptotic Analysis, 2002, 30 (2), pp.161-185. ⟨hal-00515750⟩


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⟩
Remarques sur quelques problèmes semi-linéaires et elliptiques ayant des non-linéarités polynomiales. Alain Pietrus. Remarques sur quelques problèmes semi-linéaires et elliptiques ayant des non-linéarités polynomiales. Ricerche di matematica, 2001, L (1), pp.177-189. ⟨hal-00515752⟩


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 Matematicas, 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


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⟩
Hyperbolic polynomials and single-peaked solutions of semilinear problems. Alain Pietrus. Hyperbolic polynomials and single-peaked solutions of semilinear problems. Analele Ştiinţifice ale Universitătii ``Al. I. Cuza'' din Iaşi. Serie Nouă. Matematică, 1999, XLV, pp.65-74. ⟨hal-00515777⟩


Article dans des revues


Dynamical aspects of a generalized Cahn-Hilliard equation obtained by microforce balance. Alain Pietrus, Alain Miranville, Jean-Michel Rakotoson. Dynamical aspects of a generalized Cahn-Hilliard equation obtained by microforce balance. Asymptotic Analysis, 1998, 16, pp.315-345. ⟨hal-00515782⟩


Article dans des revues


A globally convergent method for solving nonlinear equations without the differentiability condition. Alain Pietrus. A globally convergent method for solving nonlinear equations without the differentiability condition. Numerical Algorithms, 1996, 13, pp.61-76. ⟨hal-00515786⟩


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⟩