The Maslov and Morse indices for Schrödinger operators on [0, 1] P Howard, A Sukhtayev Journal of Differential Equations 260 (5), 4499-4549, 2016 | 29* | 2016 |

The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials G Cox, C Jones, Y Latushkin, A Sukhtayev Transactions of the American Mathematical Society 368 (11), 8145-8207, 2016 | 18 | 2016 |

Vakhitov-Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields G Berkolaiko, A Comech, A Sukhtayev Nonlinearity 28 (3), 577, 2015 | 17 | 2015 |

The algebraic multiplicity of eigenvalues and the Evans function revisited Y Latushkin, A Sukhtayev Mathematical Modelling of Natural Phenomena 5 (4), 269-292, 2010 | 17 | 2010 |

The Maslov index for Lagrangian pairs on R2n P Howard, Y Latushkin, A Sukhtayev Journal of Mathematical Analysis and Applications 451 (2), 794-821, 2017 | 14 | 2017 |

Instability of pulses in gradient reaction–diffusion systems: a symplectic approach M Beck, G Cox, C Jones, Y Latushkin, K McQuighan, A Sukhtayev Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2018 | 13 | 2018 |

The Evans function and the Weyl-Titchmarsh function Y Latushkin, A Sukhtayev Discr. Cont. Dynam. Syst. Ser. S 5, 939-970, 2012 | 11 | 2012 |

The Morse and Maslov Indices for Schr\" odinger Operators Y Latushkin, A Sukhtayev, S Sukhtaiev Accepted for publication in Journal d'Analyse Mathematique, 2014 | 9* | 2014 |

Renormalized oscillation theory for linear Hamiltonian systems on [0, 1] via the Maslov index P Howard, A Sukhtayev arXiv preprint arXiv:1808.08264, 2018 | 4 | 2018 |

Diffusive stability of spatially periodic solutions of the Brusselator model A Sukhtayev, K Zumbrun, S Jung, R Venkatraman Communications in Mathematical Physics 358 (1), 1-43, 2018 | 3 | 2018 |

Spectral stability of hydraulic shock profiles A Sukhtayev, Z Yang, K Zumbrun Physica D: Nonlinear Phenomena, 132360, 2020 | 2 | 2020 |

A dynamical approach to semilinear elliptic equations M Beck, G Cox, C Jones, Y Latushkin, A Sukhtayev arXiv preprint arXiv:1907.09986, 2019 | 2 | 2019 |

Diffusive stability of spatially periodic patterns with a conservation law A Sukhtayev arXiv preprint arXiv:1610.05395, 2016 | 2 | 2016 |

Hadamard-type formulas via the Maslov form Y Latushkin, A Sukhtayev Journal of Evolution Equations, 1-30, 2016 | 2 | 2016 |

Exponential dichotomies for elliptic PDE on radial domains M Beck, G Cox, C Jones, Y Latushkin, A Sukhtayev arXiv preprint arXiv:1907.10372, 2019 | 1 | 2019 |

The Maslov and Morse indices for Sturm-Liouville systems on the half-line P Howard, A Sukhtayev arXiv preprint arXiv:1903.07583, 2019 | 1 | 2019 |

The Maslov and Morse indices for Schrödinger operators on \mathbb{R} P Howard, Y Latushkin, A Sukhtayev Accepted for publication in Indiana University Mathematics Journal, 2016 | 1 | 2016 |

Energy criterion of linear instability of solitary waves in models of classical self-interacting spinor fields A Comech, G Berkolaiko, A Sukhtayev arXiv preprint arXiv:1306.5150, 2013 | 1 | 2013 |

A Sturm–Liouville theorem for quadratic operator pencils A Sukhtayev, K Zumbrun Journal of Differential Equations 268 (7), 3848-3879, 2020 | | 2020 |

Instability of Dirac--Maxwell solitary waves away from nonrelativistic limit A Comech, G Berkolaiko, A Sukhtayev | | 2013 |