Papers by Alexey Ovchinnikov

Here you can find the results of my scientific work.

    Journal papers:

  1. A Bound for Orders in Differential Nullstellensatz (by O. Golubitsky, M.V. Kondratieva, A. Ovchinnikov, and A. Szanto), Journal of Algebra, accepted for publication (PDF)

  2. Differential Tannakian categories (by A. Ovchinnikov), Journal of Algebra 321 (10), 2009, 3043--3062 (PDF)

  3. Tannakian Categories, Linear Differential Algebraic Groups, and Parametrized Linear Differential Equations (by A. Ovchinnikov), Transformation Groups 14 (1), 2009, 195--223 (PDF)

  4. On the generalised Ritt problem as a computational problem (by O. Golubitsky, M.V. Kondratieva, and A. Ovchinnikov), Journal of Mathematical Sciences, to appear (PDF)

  5. Algebraic Transformation of Differential Characteristic Decompositions from One Ranking to Another (by O. Golubitsky, M.V. Kondratieva, and A. Ovchinnikov), Journal of Symbolic Computation 44 (4), 2009, 333--357 (PDF)

  6. Tannakian Approach to Linear Differential Algebraic Groups (by A. Ovchinnikov), Transformation Groups 13 (2), 2008, 413--446 (PDF)

  7. A Bound for Rosenfeld-Groebner algorithm (by O. Golubitsky, M.V. Kondratieva, M. Moreno Maza, and A. Ovchinnikov), Journal of Symbolic Computation 43 (8), 2008, 582--610 (PDF, PS, DVI)

  8. Orders of derivatives in decomposition of radical differential ideals (A. Ovchinnikov), Russian Mathematical Surveys 63 (2), 2008, 383--385.

  9. Canonical characteristic sets of characterizable differential ideals (by O. Golubitsky, M.V. Kondratieva , A. Ovchinnikov), Moscow University Mathematics Bulletin 63 (2), 2008, 79--81.

  10. Sections of a Differential Spectrum and Factorization Free Computations (by A. Ovchinnikov), Journal of Mathematical Sciences (New York) 135 (5), 2006, 3355--3362 (PDF)

  11. Characteristic Sets of Ordinary Differential Equations (by M.V. Kondratieva and A. Ovchinnikov), Programming and Computer Software 31 (2), 2005, 91--96.

  12. Characterizable Radical Differential Ideals and Some Properties of Characteristic Sets (by A. Ovchinnikov), Programming and Computer Software 30 (3), 2004, 141--149.

    13. In refereed proceedings:

  13. Tannakian Categories and Differential Algebra (by A. Ovchinnikov), Proceedings of the Differential Algebra and Related Topics, (DART-II)

  14. Orders in Effective Differential Nullstellensatz (by O. Golubitsky, M.V. Kondratieva, A. Ovchinnikov, and A. Szanto), Le Matematiche, Volume LXIII (2008), Issue I, pp. 67--69

  15. Bounds and algebraic algorithms in differential algebra: the ordinary case (by O. Golubitsky, M.V. Kondratieva, M. Moreno Maza, and A. Ovchinnikov), Proceedings of the 9th International Conference on Intelligent Systems and Computer Science, Department of Mechanics and Mathematics, 2006, 7--11

  16. On Computing Characteristic Sets of Arbitrary Radical Differential Ideals (by M.V. Kondratieva and A. Ovchinnikov), Proceedings of ACA 2004, 38--48 (PDF, PS, DVI)

  17. Computation of Characteristic Sets of Radical Differential Ideals (by A. Ovchinnikov), Proceedings of CASC 2004, 371--378 (PDF, PS, DVI)

  18. On Characterizable Ideals and Characteristic Sets (by A. Ovchinnikov), Contributions to General Algebra 14, 91--108, 2004 (PDF, PS)

  19. Classification and Applications of Monomial Orderings and the Properties of Differential Term-Ordering (by A. Ovchinnikov and A. Zobnin), Proceedings of CASC 2002, 237--252 (PDF, PS)

  20. A New Approach to Classification of Monomial Orderings (by A. Ovchinnikov and A. Zobnin), Proceedings of the Workshop on Under- and Overdetermined Systems of Algebraic or Differential Equations, March 18-19, 2002, Karlsruhe, Germany, 129--140

  21. Involutive and Classical Groebner Bases Construction from the Computational Viewpoint (by V. Mityunin, A. Ovchinnikov, A. Semyonov, A. Zobnin), Computer Algebra and its Application to Physics, Proceedings of the International workshop (Dubna, June 28-30, 2001), Dubna: JINR, 2002, 221--230

    22. Other papers:

  22. On Computation of Kolchin Characteristic Sets: Ordinary and Partial Cases (by M.V. Kondratieva and A. Ovchinnikov) (PDF, PS, DVI, arXiv math.AC/0606124)

[Main page] [Mathematics Seminar at UIC] [Michael F. Singer] [The Kolchin Seminar] []