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Titluri: doctor habilitat, profesor universitar Postul: cercetător ştiinţific principal Data naşterii: 2 decembrie 1953 Lucrări: 110 Limbi străine: Rusa, Engleza şi Franceza (citit) Telefon: 73-81-62 Email:

Domeniul de cercetare

Teoria calitativă a ecuaţiilor diferenţiale, sisteme dinamice, teoria invarianţilor, teoria algebrelor Lie, algebra computaţională, baze Groebner

Lucrări importante

• Centers of cubic differential systems with the multiple line at infinity.
  Șubă A. Materials of International Scientific Conference “Applied Mathematics and Information Technology” dedicated to the 60th anniversary of the Department of Applied Mathematics and Information Technology of Yuriy Fedkovych Chernivtsi National University, September 22 - 24, 2022, Chernivtsi, pp. 92-95.
• Real cubic differential systems with a linear center and multiple line at infinity.
  Șubă A. Acta et commentationes. Seria Științe Naturale și Exacte. Universitatea de Stat din Tiraspol (cu sediul în Chișinău), 2021, nr.2(11), 1-13. ISSN: 2537-6284.
• Center problem for cubic differential systems with the line at infinity and an affine real invariant straight line of total multiplicity four.
  Șubă A., Vacaraș O. Bukovinian Math. Journal, 2021, vol. 9, no. 2, 35-52. ISSN: 2309-4001.
• Center problem for cubic differential systems with the line at infinity of multiplicity four.
  Șubă A. Carpathian. J. Math., 2022, vol. 38, no. 1, 217--222. Print Edition: ISSN 1584-2851; Online Edition: 1843-4401. (Impact Factor 1.778)
• Cubic differential systems with an invariant straight line of maximal multiplicity.
  Şubă A., Vacaraş O. Annals of the University of Craiova, Mathematics and Computer Science Series, Volume 42(2), 2015, 427-449. ISSN: 1223-6934.
• Cubic systems with invariant affine straight lines of total parallel multiplicity seven.
  Şubă A., Repeşco V., Puţuntică V. Electron. J. Diff. Equ., Vol. 2013 (2013), nr. 274, 1-22. http://ejde.math.txstate.edu/
• Ecuaţii diferenţiale cu derivate parţiale de ordinul întâi liniare.
  Pancenco I., Şubă A. Chişinău, UST, 2012, 138 p.
• Configurations of invariant straight lines of cubic differential systems with degenerate infinity.
  Şubă A., Repeşco V. Scientific Bulletin of Chernivtsi University, Series "Mathematics". 2(2012), no. 2-3, 177-182.
• Classification of the cubic differential systems with seven real invariant straight lines.
  Puţuntică V., Şubă A. ROMAI Journal, Romanian Society of Applied and Industrial Mathematics, 5(2009), no.1, 121-122.
• Cubic differential systems with six real invariant straight lines along two directions.
  Puţuntică V., Şubă A. Studia Universitatis. Secţia Ştiinţe exacte şi economice, nr. 8(13), 2008, 5-16.
• Les GL(2,R)-orbites des systèmes différentiels polynomiaux plans.
  Boularas D., Păşcanu A., Şubă A. Scientific Papers (Scientific Annals) of UASVM, Iaşi, tom XLIX, v.2, 2006, 159-174.
• GL(2,R)-orbitele sistemelor polinomiale de ecuaţii diferenţiale.
  Păşcanu A., Şubă A. ROMAI Journal, Romanian Society of Applied and Industrial Mathematics, 1(2005), nr.1, 151-167.
• Solution of the Problem of the Centre for Cubic Differential System with Three Invariant Straight Lines in Generic Position.
  Cozma D., Şubă A. Qualitative Theory of Dynamical Systems. Universitat de Lleida, Spaine, 2005, v.6, Article no. 92, 45-58.
• The center conditions for a cubic system.
  Şubă A. Bul. Ştiinţific. Univ. Baia Mare (România), Ser. B, Matematică-Informatică. Vol. XVIII(2002), nr.2, 355-360.
• Centers of some cubic systems.
  Romanovsky V., Şubă A. Annals of Differential Equations, China, Vol. 17, no. 4, 2001, 363-376.
• Solution of the problem of the centre for a cubic differential system with three invariant straight lines.
  Cozma D., Şubă A. Qualitative Theory of Dynamical Systems. Universitat de Lleida, Spaine, 2001, v.2, no.1, 129-143.
• Probleme de ecuaţii diferenţiale ordinare.
  Ceban D., Şubă A. Chişinău, 2001. 272p.
• On Bautin ideal on the quadratic system.
  Romanovsky V., Şubă A. Third International Conference "Differential Equations and Applications''. Saint-Petersburg, June 12-17, 2000, Mathematical Research, v.7, Saint-Petersburg State Technical University Press, 21-25.
• Probleme de calcul al integralelor duble şi triple.
  Cozma D., Şubă A. Chişinău, 2000. 110p.
• The solution of the problem of center for cubic differential systems with four invariant straight lines.
  Cozma D., Şubă A. Annals Scientific of University "Al.I.Cuza", Iaşi (Romania), s.I.a, Mathematics, 44(1998), 517-530.
• On the Lyapunov quantities of two-dimensional autonomous systems of differential equations with a critical point of centre or focus type.
  Şubă A. Bulletin of Baia Mare University (Romania). Mathematics and Informatics, 13(1998), 153-170.
• О структуре интегрирующего множителя одной кубической системы с особой точкой типа центра.
  Шубэ А. С. Дифференциальные уравнения, 32(1996), N 5, 726-729 (translation in Differential Equations 32(1996), N 5, 726-729).
• Частные интегралы, интегрируемость и проблема центра.
  Шубэ А. С. Дифференциальные уравнения, 32(1996), N 7, 880-888.
• Partial integrals and the first focal value in the problem of centre.
  Cozma D., Şubă A. NoDEA: Nonlinear Differential Equations Appl., Italy, 2(1995), no. 1, 21-34.
• Об условиях центра Куклеса и Черкаса одной кубической систмы.
  Шубэ А. С. Дифференциальные уравнения. 29(1993), N 4, с. 728-730 (translation in Differential Equations 29 (1993), no. 4, 625-627).
• Условия наличия четырех интегральных прямых кубической дифференциальной системы в случае центра или фокуса.
  Известия АН РМ. Математика. Кишинев, Штиинца, 1993, N 3, 54-62.
• Линейные частные интегралы и проблема центра.
  Известия АН РМ. Математика. Кишинев, Штиинца, 1993, N 1(11), 91-95.
• Условия наличия у дробнокубического дифференциального уравнения общего интеграла вида $(x^2+y^2)exp\Bigl[\sum_{i=1}^n\Phi_i(x,y)\Bigl]=C$.
  Известия АН МССР. Математика. 1991, N 2, 86-89.
• Различение случаев центра и фокуса для кубических систем с шестью параметрами.
  Известия АН ССРМ. Математика, 1990, N 3, 18-21.
• Достаточные условия центра для двумерной автономной системы с кубическими правыми частями.
  Шубэ А. С. Дифференциальные уравнения, 25(1989), N 11, 2014-2016.
• Коэффициентные условия центра в смысле Дюлака дифференциальной системы с одним нулевым характеристическим корнем и кубическими правыми частями.
  Сибирский К. С., Шубэ А. С. ДАН СССР, 303(1988), N 4, 799-803 (translation in Soviet Math. Dokl. 38(1989), no. 3, p. 609-613).
• Необходимые и достаточные условия наличия центра у некоторых кубических систем.
  Известия АН МССР. Сер. физ.-техн. и математ. наук. 1989, N 3, 57-58.
• Полудинамические системы (топологическая теория).
  Сибирский К. С., Шубэ А. С. Кишинев, Штиинца, 1987, 1-272.
• Полудинамические системы на прямой.
  Сибирский К. С., Шубэ А. С. Дифференциальные уравнения, 13(1977), N 12, 2207-2212.

Apartenenţa la societăţi, redacţii

• Societatea de Matematică din Republica Moldova (SMRM).
• Societatea de Matematică Aplicată şi Industrială din România.
• Societatea Americană de Matematică.
• Recenzent la revista "Mathematical Reviews" a Societăţii Americane de Matematică.
• Recenzent la revista "Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica".

Activitate

• Co-conducător al seminarului ştiinţific "Ecuaţii diferenţiale şi algebre" din cadrul Universităţii de Stat din Tiraspol (cu sediul la Chişinău).
• Membru al Consiliului ştiinţific al IMI.
• Membru al Secţiei de Ştiinţe Exacte şi Economice a Academiei de Ştiinţe a Moldovei.
• Secretar ştiinţific al Comisiei de experţi în domeniul matematicii din cadrul Consiliului Naţional pentru Acreditare şi Atestare a Republicii Moldova.
• Conducător ştiinţific a trei teze de doctorat susţinute şi a uneia în proces de realizare.
• Referent oficial (membru al Consiliilor Ştiinţifice) a două teze de doctor habilitat şi a multor teze de doctor.

Publicaţii în Computer Science Journal of Moldova, Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica şi Quasigroups and Related Systems

• 2019 The problem of the center for cubic differential systems with the line at infinity and an affine real invariant straight line of total algebraic multiplicity five
• 2018 Quartic differential systems with an invariant straight line of maximal multiplicity
• 2016 Cubic systems with degenerate infinity and invariant straight lines of total parallel multiplicity five
• 2012 Cubic systems with seven invariant straight lines of configuration (3,3,1)
• 2009 The cubic differential system with six real invariant straight lines along three directions.
• 2008 The G(2,ℜ) -orbits of the homogeneous polynomial differential systems.
• 2004 A GL(2,R)-orbits of the polynomial sistems of differential equations. (English)
• 2003 Solution of the center problem for cubic systems with a bundle of three invariant straight lines. (English)
• 2001 Solution of the problem of the centre for cubic differential system with three invariant straight lines two of which are parallel.
• 1999 Solution of the problem of the center for cubic system with two homogeneous and one nonhomogeneous invariant straight lines. (English)

 

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