Menu   Prof. dr. Sebastian Aniţa


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Publications


Books:

  1. Analysis and Control of Age-Dependent Population Dynamics, Kluwer Academic Publishers, Dordrecht, 2000.
  2. An Introduction to Optimal Control Problems in Life Sciences and Economics. From Mathematical Models to Numerical Simulation with MATLAB, Birkhauser, Boston, 2011 (with V. Arnautu, V. Capasso).
  3. Ordinary Differential Equation (Romanian), Editura Univ. "Al. I. Cuza" Iasi, 2003.
  4. Partial Differential Equations through Problems (Romanian), Editura Univ. "Al. I. Cuza" Iasi, 1994 (with
    5. G. Aniculaesei).
  5. Partial Differential Equations. Applications (Romanian), Editura Univ. "Al. I. Cuza" Iasi, 2001 (with
    6. G. Aniculaesei).

Scientific papers:

  1. A characterization of the mean value equality in convex analysis, Analele stiintifice ale Univ. "Al. I. Cuza" Iasi, tom XXXIII,s. I-a Mat. (1987), 193-196.
  2. Fillippov solutions for elliptic variational inequalities, Analele stiintifice ale Univ. "Al. I. Cuza" Iasi, tom XXXIV, s. I-a Mat. (1988), 247-256.
  3. Approximating linear optimal control problems via Trotter formula, Nonlinear Analysis; Theory, Methods and Applications, 12 (1988), 375-388.
  4. Optimal control of a nonlinear population dynamics with diffusion, Journal of Mathematical Analysis and Applications, 152 (1990), 176-208.
  5. Existence and uniqueness for the population dynamics with nonlinear diffusion, Differential and Integral Equations, 4 (1991), 835-850.
  6. Optimal control of parabolic problems with boundary impulse-variables, Analele stiintifice ale Univ. "Al. I. Cuza" Iasi, tom XXXVIII, s. I-a Mat. (1992), 249-259.
  7. Optimal impulse-control of population dynamics with diffusion, in Differential Equations and Control Theory (Editor: V. Barbu), Longman Higher Education and Reference 250, 1992, 1-6.
  8. A problem of measurement of the temperature solved using the one-dimensional heat equation, International Journal of Heat and Mass Transfer, 36 (1993), 1043-1048 (with N. Damean).
  9. Approximation of an optimal control problem with distributed impulses, Analele stiintifice ale Univ. "Al. I. Cuza" Iasi, tom XXXIX, s. I-a Mat. (1993), 165-174.
  10. The H-infinity-problem with boundary disturbance. The parabolic case, Analele stiintifice ale Univ. "Al. I. Cuza" Iasi, tom XXXIX, s. I-a Mat. (1993), 305-321.
  11. A linear H-infinity-control problem with impulsive disturbances, Analele stiintifice ale Univ. "Al. I. Cuza" Iasi, tom XL, s. I-a Mat. (1994), 275-294.
  12. H-infinity -methods in modeling and control, Applied Mathematics and Computer Science, 4 (1994), 239-245.
  13. Optimal control of parameter distributed systems with impulses, Applied Mathematics and Optimization, 29 (1994), 93-107.
  14. A H-infinity-control problem with unbounded disturbances and impulsive parameter; the parabolic case, Analele stiintifice ale Univ. "Al. I. Cuza" Iasi, tom XLI, s. I-a Mat. (1995), 375-384.
  15. A H-infinity-control problem with impulsive parameter, in Qualitative Problems for Differential Equations and Control Theory (Editor: C. Corduneanu), World Scientific Publishing, 1995, 135-145.
  16. The null controllability of the population dynamics with diffusion and inhospitable boundary, Analele stiintifice ale Univ. "Al. I. Cuza" Iasi, tom XLII, s. I-a Mat. (1996), 39-48.
  17. H-infinity-control problems with unbounded observation: the hyperbolic case, Analele stiintifice ale Univ. ``Al.I. Cuza'' Iasi, tom XLII, s. I-a Mat. (1996), 373-390.
  18. A H-infinity-control problem with unbounded control operator and impulsive disturbances, Memoriile Academiei Romane, seria IV, tom XIX (1996), 81-94.
  19. H-infinity-control problems: a state-space approach, in Advances in Difference Equations (Editors: S. Elaydi, I. Gyori, G. Ladas), Gordon and Breach Science Publishers, 1997, 39-46 (with G. Aniculaesei).
  20. Null controllability in some diffusive processes. The case of the controller with small support, in Advances in Difference Equations (Editors: S. Elaydi, I. Gyori, G. Ladas), Gordon and Breach Science Publishers, 1997, 47-54 (with G. Aniculaesei).
  21. Null controllability of the population dynamics via controllers with small support, in Advances in Mathematical Population Dynamics: Molecules, Cells and Man, World Scientific Publishing Company, 1997, 815-822.
  22. Optimal harvesting for periodic age-dependent population dynamics, SIAM Journal on Applied Mathematics, 58 (1998), 1648-1666 (with M. Iannelli, M.-Y. Kim, E.-J. Park).
  23. Optimal harvesting for a nonlinear population dynamics, Journal of Mathematical Analysis and Applications, 226 (1998), 6-22.
  24. An identification problem for an anchovy larva model, Nonlinear Analysis; Theory, Methods and Applications - B, 37 (1999), 613-626 (with A. Boussouar).
  25. Some identification problems for an anchovy larva model with diffusion, Archives of Control Sciences, 9 (1999), 7-24 (with A. Boussouar).
  26. Optimal harvesting of the nonlinear population dynamics, International Journal of Applied Mathematics and Computer Science, 10 (2000), 111-122.
  27. Null controllability of nonlinear convective heat equations, ESAIM: Control, Optimization and Calculus of Variations, 5 (2000), 157-173 (with V. Barbu).
  28. A fractional step scheme for the optimal control of a nonlinear population dynamics with diffusion, Analele stiintifice ale Univ. ``Al.I. Cuza'' Iasi, tom XLVI, s. I a Mat. (2000), 157-168.
  29. Local exact controllability of a reaction-diffusion system, Differential and Integral Equations, 14 (2001), 577-587 (with V. Barbu).
  30. Internal stabilization of the diffusion equation, in Differential Equations and Control Theory (Editors:
    31. S. Aizicovici, N. Pavel), Marcel Dekker, New York, 2001, 31-38.
  31. Stabilization of the heat equation via internal feedback control, Nonlinear Functional Analysis and Applications, 6 (2001), 271-280.
  32. Characterization of the internal stabilizability of the diffusion equation, Nonlinear Studies, 8 (2001), 193-202.
  33. Local exact controllability of the age-dependent population dynamics with diffusion, Abstract and Applied Analysis, 6 (2001), 357-368 (with B. Ainseba).
  34. Internal stabilizability of some diffusive models, Journal of Mathematical Analysis and Applications, 265 (2002), 91-102 (with B. Ainseba, M. Langlais).
  35. Null controllability of a nonlinear heat equation, Abstract and Applied Analysis, 7 (2002), 375-384.
  36. A stabilizability problem for a reaction-diffusion system modelling a class of spatially structured epidemic systems, Nonlinear Analysis; Theory, Methods and Applications-B, 3 (2002), 453-464 (with V. Capasso).
  37. Null controllability for the dissipative semilinear heat equation, Applied Mathematics and Optimization, 46 (2002), 97-105 (with D. Tataru).
  38. On the optimal harvesting of a nonlinear age-structured population dynamics, Electronic Journal of Differential Equations 28 (2003), 1-9 (with B. Ainseba, M. Langlais).
  39. Positive stabilization of a parabolic equation by controls localized on a curve, Journal of Mathematical Analysis and Applications, 286 (2003), 107-115 (with J.-P. Raymond).
  40. Internal stabilization of parabolic equations with state constraints, Nonlinear Studies, 10 (2003), 323-224.
  41. Internal exact controllability of the age and space structured population dynamics, Electronic Journal of Differential Equations, 112 (2004), 1-11 (with B. Ainseba).
  42. Some aspects concerning the linear age dependent population dynamics, Scientific Annals of University
    43. I. Ionescu de la Brad, 47 (2) (2004), 3-18 (with V. Arnautu).
  43. Note on the stabilization of a reaction-diffusion model in epidemiology, Nonlinear Analysis; Real World Applications, 6 (3) (2005), 537-544 (with L.-I. Anita).
  44. Internal stabilizability for a reaction-diffusion problem modeling a predator-prey system, Nonlinear Analysis; Theory, Methods and Applications, 61 (4) (2005), 491-501 (with B. Ainseba).
  45. Internal eradicability for an epidemiological model with diffusion, Mathematical Biosciences and Engineering, 2 (3) (2005), 437-443 (with B. Ainseba).
  46. Some aspects concerning the optimal harvesting problem, Scientific Annals of University I. Ionescu de la Brad, 48 (2) (2005), 65-73 (with V. Arnautu).
  47. Stabilization for a reaction-diffusion system in epidemiology, in MATH Everywhere. Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry (Editors: G. Aletti, M. Burger, A. Micheletti, D. Morale) Springer, Heidelberg, 2006, 219-228.
  48. Stabilization for a periodic predator-prey system, Abstract and Applied Analysis, vol. 2007, Article ID 86183, 17 pages, 2007, doi:10.1155/2007/86183.
  49. Internal nonnegative stabilization for some parabolic equations, Communications on Pure and Applied Analysis, 7 (3) (2008), 491-512 (with B. Ainseba).
  50. Asymptotic behaviour of the solutions to some semilinear age-dependent population dynamics with diffusion and periodic vital rates, Mathematical Population Studies, 15 (2) (2008), 114-122 (with L.-I. Anita).
  51. Large time behaviour for an age-dependent population model with logistic term and periodic vital rates, Applied Mathematics and Computation, 206 (2008), 368-379 (with L.-I. Anita, V. Arnautu).
  52. Stabilization for a reaction-diffusion system modelling a class of spatially structured epidemic systems. The periodic case, in Advances in Dynamics and Control: Theory, Methods and Applications (Editors: S. Sivasundaram, J. Vasundhara Devi, F.E. Udwadia, I. Lasiecka), A volume in honour of A.V. Balakrishnan, Cambridge Scientific Publishers, 2008, ISBN 978-1-904868-69-9 (with V. Capasso).
  53. Stabilization strategies for some reaction-diffusion systems, Nonlinear Analysis; Real World Applications, 10 (2009), 345-357 (with M. Langlais).
  54. A stabilization strategy for a reaction-diffusion system modelling a class of spatially structured epidemic systems (think globally, act locally), Nonlinear Analysis; Real World Applications, 10 (4) (2009), 2026-2035 (with V. Capasso).
  55. Global existence and internal stabilization for a class of predator-prey systems posed on non coincident spatial domains, Discrete and Continuous Dynamical Systems B, 11 (4) (2009), 805-822 (with W. Fitzgibbon,
    56. M. Langlais).
  56. Numerical optimal harvesting for a periodic age-structured population dynamics with logistic term, Numerical Functional Analysis and Optimization, 30 (3-4) (2009), 183-198 (with V. Arnautu, R. Stefanescu).
  57. Optimal harvesting for periodic age-dependent population dynamics with logistic term, Applied Mathematics and Computation, 215 (2009), 2701-2715 (with L.-I. Anita, V. Arnautu).
  58. On the stabilization of reaction-diffusion systems modelling a class of man-environment epidemics: a review, Mathematical Methods in the Applied Sciences 33 (2010), 1235-1244 (with V. Capasso).
  59. Internal eradicability of a diffusive epidemic system via feedback control, Nonlinear Analysis: Real World Applications, 12 (4) (2011), 2294-2303 (with L.-I. Anita).
  60. Feedback stabilization for a reaction-diffusion system with nonlocal reaction term, Numerical Functional Analysis and Optimization, 32 (4) (2011), 1-19 (with V. Arnautu, S. Dodea).
  61. Stabilization of a reaction-diffusion system modelling a class of spatially structured epidemic systems via feedback control, Nonlinear Analysis: Real World Applications, 13 (2) (2012), 725-735 (with V. Capasso).
  62. Stabilization of a reaction-diffusion system modelling malaria transmission, Discrete and Continuous Dynamical Systems B, 17 (6) (2012), 1673-1684 (with V. Capasso).
  63. Optimal control and long-run dynamics for a spatial economic growth model with physical capital accumulation and pollution diffusion, Applied Mathematics Letters, 26 (2013), 908-912 (with V. Capasso, H. Kunze, D. La Torre).
  64. Internal null stabilization for some diffusive models in population dynamics, Applied Mathematics and Computation, 219 (20) (2013), 10231-10244 (with L.-I. Anita, V. Arnautu).
  65. Impulsive spatial control of invading pests by generalist predators, Mathematical Medicine and Biology, 31 (3) (2014), 284-301 (with J. Casas, C. Suppo).
  66. Zero-stabilization for some diffusive models with state constraints, Mathematical Modelling of Natural Phenomena, 9 (4) (2014), 6-19.
  67. Optimal strategies to diminish a pest population via bilinear controls, Applied Mathematics Letters, 40 (2015), 7-12 (with L.-I. Anita, C. Morosanu).
  68. Dynamics and optimal control in a spatially structured economic growth model with pollution diffusion and environmental taxation, Applied Mathematics Leters, 42 (2015), 36-40 (with V. Capasso, H. Kunze,
    69. D. La Torre).
  69. Dynamics and control of an integro-differential system of geographical economics, submitted (with
    70. V. Capasso, H. Kunze, D. La Torre).
  70. Stabilization of a predator-prey system with nonlocal terms, submitted.

Citations: