Qualitative theory of ODE

  • [PDF] [DOI] D. Batenkov and Y. Yomdin, “Taylor domination, Turán lemma, and Poincaré-Perron sequences,” in Contemporary Mathematics, B. Mordukhovich, S. Reich, and A. Zaslavski, Eds., Providence, Rhode Island: American Mathematical Society, 2016, vol. 659, p. 1–15.
    [Bibtex]
    @InCollection{mordukhovich_taylor_2016,
    author = {Batenkov, Dmitry and Yomdin, Yosef},
    title = {Taylor domination, {Tur{\'a}n} lemma, and {Poincar{\'e}}-{Perron} sequences},
    booktitle = {Contemporary {Mathematics}},
    publisher = {American Mathematical Society},
    year = {2016},
    editor = {Mordukhovich, Boris and Reich, Simeon and Zaslavski, Alexander},
    volume = {659},
    pages = {1--15},
    address = {Providence, Rhode Island},
    doi = {10.1090/conm/659/13162},
    file = {Batenkov_Yomdin_Taylor Domination, Tur{\'a}n lemma, and Poincar{\'e}-Perron Sequences.pdf:/Users/dima/Library/Application Support/Zotero/Profiles/pvpguanx.default/zotero/storage/Z7WU5V63/Batenkov_Yomdin_Taylor Domination, Tura?n lemma, and Poincare?-Perron Sequences.pdf:application/pdf},
    isbn = {978-1-4704-1736-9 978-1-4704-2904-1},
    language = {en},
    owner = {dima},
    timestamp = {2016.08.04},
    url = {http://dx.doi.org/10.1090/conm/659/13162},
    urldate = {2016-04-07}
    }
  • [PDF] [DOI] D. Batenkov and G. Binyamini, “Uniform upper bounds for the cyclicity of the zero solution of the Abel differential equation,” Journal of Differential Equations, vol. 259, iss. 11, p. 5769–5781, 2015.
    [Bibtex]
    @Article{batenkov_uniform_2015,
    author = {Batenkov, Dmitry and Binyamini, Gal},
    title = {Uniform upper bounds for the cyclicity of the zero solution of the {Abel} differential equation},
    journal = {{Journal of Differential Equations}},
    year = {2015},
    volume = {259},
    number = {11},
    pages = {5769--5781},
    doi = {10.1016/j.jde.2015.07.009},
    file = {Batenkov_Binyamini_2015_Uniform upper bounds for the cyclicity of the zero solution of the Abel.pdf:/Users/dima/Library/Application Support/Zotero/Profiles/pvpguanx.default/zotero/storage/9M8HT664/Batenkov_Binyamini_2015_Uniform upper bounds for the cyclicity of the zero solution of the Abel.pdf:application/pdf},
    issn = {0022-0396},
    mrnumber = {3397308},
    owner = {dima},
    timestamp = {2016.08.04},
    url = {http://www.ams.org/mathscinet-getitem?mr=3397308},
    urldate = {2016-08-04}
    }
  • [PDF] [DOI] D. Batenkov and Y. Yomdin, “Taylor Domination, Difference Equations, and Bautin Ideals,” in Difference Equations, Discrete Dynamical Systems and Applications, L. A. i Soler, J. M. Cushing, S. Elaydi, and A. A. Pinto, Eds., {Springer Berlin Heidelberg}, 2012, pp. 303-319.
    [Bibtex]
    @InCollection{batenkov_taylor_2014,
    author = {Batenkov, Dmitry and Yomdin, Yosef},
    title = {Taylor {{Domination}}, {{Difference Equations}}, and {{Bautin Ideals}}},
    booktitle = {Difference {{Equations}}, {{Discrete Dynamical Systems}} and {{Applications}}},
    publisher = {{Springer Berlin Heidelberg}},
    year = {2012},
    editor = {i Soler, Llu\'is Alsed\`a and Cushing, Jim M. and Elaydi, Saber and Pinto, Alberto A.},
    number = {180},
    series = {Springer Proceedings in Mathematics \& Statistics},
    pages = {303-319},
    month = jul,
    isbn = {978-3-662-52926-3 978-3-662-52927-0},
    copyright = {\textcopyright{}2016 Springer-Verlag Berlin Heidelberg},
    doi = {10.1007/978-3-662-52927-0_21},
    keywords = {Difference and Functional Equations,Discrete Mathematics,Complex Systems,Statistical Physics and Dynamical Systems,Recurrence relations,Bautin ideals,Domination of initial Taylor coefficients},
    language = {en},
    }
  • [PDF] [DOI] D. Batenkov and G. Binyamini, “Moment Vanishing of Piecewise Solutions of Linear ODEs,” in Difference Equations, Discrete Dynamical Systems and Applications, L. A. i Soler, J. M. Cushing, S. Elaydi, and A. A. Pinto, Eds., {Springer Berlin Heidelberg}, 2012, pp. 15-28.
    [Bibtex]
    @InCollection{batenkov2013moment,
    author = {Batenkov, Dmitry and Binyamini, Gal},
    title = {Moment {{Vanishing}} of {{Piecewise Solutions}} of {{Linear ODEs}}},
    booktitle = {Difference {{Equations}}, {{Discrete Dynamical Systems}} and {{Applications}}},
    publisher = {{Springer Berlin Heidelberg}},
    year = {2012},
    editor = {i Soler, Llu\'is Alsed\`a and Cushing, Jim M. and Elaydi, Saber and Pinto, Alberto A.},
    number = {180},
    series = {Springer Proceedings in Mathematics \& Statistics},
    pages = {15-28},
    month = jul,
    isbn = {978-3-662-52926-3 978-3-662-52927-0},
    copyright = {\textcopyright{}2016 Springer-Verlag Berlin Heidelberg},
    doi = {10.1007/978-3-662-52927-0_2},
    keywords = {Difference and Functional Equations,Discrete Mathematics,Complex Systems,Statistical Physics and Dynamical Systems,Recurrence relations,Moment vanishing,Holonomic ODEs,Generalised exponential sums},
    language = {en},
    }