Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

Singularities and global properties of nonlinear differential equations

2011/03/B/ST1/00330

Keywords:

limit cycles Abelian integrals normal forms of vector fields monodromy of differential equations special functions Painleve equations Fuchs type equations

Descriptors:

  • ST1_10: Ordinary differential equations and dynamical systems

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Marcin Bobieński 

Number of co-investigators in the project: 2

Call: OPUS 2 - announced on 2011-09-15

Amount awarded: 215 000 PLN

Project start date (Y-m-d): 2012-08-29

Project end date (Y-m-d): 2016-02-28

Project duration:: 42 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Komputer przenośny stacjonarny Dell Precision (4 000 PLN)
  2. Licencja programu Mathematica (2 szt.) (12 000 PLN)
  3. Komputer przenośny Samsung Satellite NP530U3B-A04 (4 000 PLN)

Information in the final report

  • Publication in academic press/journals (12)
  • Book publications / chapters in book publications (5)
  1. Constructive Solutions to the Riemann–Hilbert Problem and Middle Convolution
    Authors:
    Y. Bibilo, G. Filipuk
    Academic press:
    J. Dyn. Control Syst. (rok: 2016, tom: 21 No 4, strony: 45306), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10883-015-9306-3 - link to the publication
  2. Finite cyclicity of quadratic slow-fast Darboux systems with a two saddle loop
    Authors:
    M. Bobienski, L. Gavrilov
    Academic press:
    Proceedings of the AMS (rok: 2014, tom: -, strony: -), Wydawca: AMS
    Status:
    Accepted for publication
  3. A remark about quasi-Painleve equations of PII type
    Authors:
    G. Filipuk
    Academic press:
    Proceedings of the Bulgarian Academy of Sciences (rok: 2015, tom: 68, strony: 427-430), Wydawca: Bulgarian Academy of Sciences
    Status:
    Published
  4. Factorization method applied to second order (q,h)-difference operators
    Authors:
    A. Dobrogowska, G. Filipuk
    Academic press:
    International Journal of Difference Equations (rok: 2016, tom: -, strony: -), Wydawca: Research India Publications
    Status:
    Published
  5. Middle convolution and non-Schlesinger deformations
    Authors:
    J. Bibilo, G. Filipuk
    Academic press:
    Proc. Japan Academy Series A (rok: 2014, tom: -, strony: -), Wydawca: Japan ACAD
    Status:
    Published
  6. On the Generalized Emden-Fowler and Isothermal Spheres Equations
    Authors:
    R. Kycia, G. Filipuk
    Academic press:
    Applied Mathematics and Computation (rok: 2015, tom: -, strony: -), Wydawca: ELSEVIER SCIENCE INC
    Status:
    Published
  7. Linear differential equations satisfied by Pseudo-Abelian integral along Daroboux cycle
    Authors:
    M. Bobienski
    Academic press:
    Bulletin des Sciences Mathematiques (rok: 2016, ), Wydawca: Elsevier
    Status:
    Submitted
  8. Painleve equations, elliptic integrals and elementary functions
    Authors:
    H. Zoladek, G. Filpuk
    Academic press:
    Journal of Differental Equations (rok: 2015, tom: 258, strony: 1303 - 1355), Wydawca: ACADEMIC PRESS INC ELSEVIER SCIENCE
    Status:
    Published
  9. Meromorphic solutions of P_4,34 and their value distribution
    Authors:
    E. Ciechanowicz, G. Filipuk
    Academic press:
    Annales Academiae Scientiarum Fennicae Mathematica (rok: 2016, ), Wydawca: ?
    Status:
    Accepted for publication
  10. Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution
    Authors:
    Y. Bibilo, G. Filipuk
    Academic press:
    SIGMA (rok: 2015, tom: 11, strony: 14), Wydawca: -
    Status:
    Published
    DOI:
    10.3842/SIGMA.2015.023 - link to the publication
  11. On the (q,h)-discretization of ladder operators
    Authors:
    S. Hilger, G. Filipuk, R. Kycia, A. Dobrogowska
    Academic press:
    International Journal of Difference Equations (rok: 2014, tom: 9, strony: 67 - 76), Wydawca: Research India Publications
    Status:
    Published
  12. Algebra embedding of Uq(sl(2))into the tensor product of two (q, h)-Weyl algebras
    Authors:
    G. Filipuk, S. Hilger
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2016, tom: 220, strony: 2049 - 2063), Wydawca: Elsevier
    Status:
    Published
  1. On the singularities of the Emden-Fowler type equations
    Authors:
    G. Kycia, G. Filipuk
    Book:
    Current Trends in Analysis and its Applications (rok: 2015, tom: -, strony: 93 - 101), Wydawca: Birkhauser
    Status:
    Published
  2. A Remark on the Tensor Product of Two (q,h)-Weyl Algebras
    Authors:
    G. FIlipuk, S. Hilger
    Book:
    Computer Algebra Systems in Teaching and Research (rok: 2015, tom: V, strony: 93 - 98), Wydawca: Collegium Mazovia
    Status:
    Published
  3. A remark on non-Schlesinger deformations
    Authors:
    G. Filipuk, Y. Bibilo
    Book:
    Computer Algebra Systems in Teaching and Research (rok: 2015, tom: V, strony: 87-92), Wydawca: Collegium Mazovia
    Status:
    Published
  4. On the solutions of the critical Lane-Emden equation in higher space dimensions
    Authors:
    R. Kycia, G. Filipuk
    Book:
    Computer Algebra Systems in Teaching and Research (rok: 2013, tom: IV, No 1, strony: 66-75), Wydawca: Collegium Mazovia
    Status:
    Published
  5. Transcendental meromorphic solutions of P_{34} and small targets
    Authors:
    E. Ciechanowicz, G. Filipuk
    Book:
    AAGADE proceedings to be published in Trends in Mathematics (rok: 2016, tom: -, strony: -), Wydawca: Springer
    Status:
    Accepted for publication