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Popa Mihail

Publications in Math-Net.Ru

  1. Invariant conditions of stability of unperturbed motion governed by critical differential systems $s(1,2,3)$

    Bul. Acad. Ştiinţe Repub. Mold. Mat., 2019, no. 2,  137–153
  2. On the upper bound of the number of functionally independent focal quantities of the Lyapunov differential system

    Bul. Acad. Ştiinţe Repub. Mold. Mat., 2019, no. 2,  99–112
  3. Invariant conditions of stability of unperturbed motion governed by some differential systems in the plane

    Bul. Acad. Ştiinţe Repub. Mold. Mat., 2017, no. 3,  88–106
  4. Applications of algebraic methods in solving the center-focus problem

    Bul. Acad. Ştiinţe Repub. Mold. Mat., 2013, no. 1,  45–71
  5. Generators of the algebras of invariants for differential system with homogeneous nonlinearities of odd degree

    Bul. Acad. Ştiinţe Repub. Mold. Mat., 2012, no. 2,  43–58
  6. About characteristics of graded algebras $S_{1,4}$ and $SI_{1,4}$

    Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, no. 1,  23–32
  7. Classification of $GL(2,\mathbb R)$-orbi's dimensions for the differential equations' system with homogeneities of the 4th order

    Bul. Acad. Ştiinţe Repub. Mold. Mat., 2007, no. 1,  25–36
  8. Lie algebras of operators and invariant $GL(2,\mathbb{R})$-integrals for Darboux type differential systems

    Bul. Acad. Ştiinţe Repub. Mold. Mat., 2006, no. 3,  3–16
  9. Lie algebras of the operators and three-dimensional polynomial differential systems

    Bul. Acad. Ştiinţe Repub. Mold. Mat., 2005, no. 2,  51–64
  10. A Lie algebra of a differential generalized FitzHugh–Nagumo system

    Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, no. 1,  18–30
  11. Application of invariant processes to the study of homogeneous linear particular integrals of a differential system

    Dokl. Akad. Nauk SSSR, 317:4 (1991),  834–839
  12. Conditions for the existence of a homogeneous linear partial integral of a differential system

    Differ. Uravn., 23:8 (1987),  1324–1331
  13. Focal cyclicity of critical points of a differential system

    Differ. Uravn., 22:9 (1986),  1539–1545
  14. Affine classification of a system with quadratic nonlinearities and not single valued canonical form

    Differ. Uravn., 14:6 (1978),  1028–1033
  15. Concomitants of a system with quadratic nonlinearities

    Differ. Uravn., 14:5 (1978),  835–842
  16. Syzygies between the affine invariants of a system with quadratic right hand sides

    Differ. Uravn., 13:12 (1977),  2272–2275


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