The Maslov and Morse indices for Schrödinger operators on [0, 1] P Howard, A Sukhtayev Journal of Differential Equations 260 (5), 4499-4549, 2016 | 38 | 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 | 33 | 2016 |
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 | 32 | 2018 |
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 | 27 | 2017 |
The Maslov and Morse indices for system Schrödinger operators on ℝ P Howard, Y Latushkin, A Sukhtayev Indiana University Mathematics Journal 67 (5), 1765-1815, 2018 | 25 | 2018 |
The algebraic multiplicity of eigenvalues and the Evans function revisited Y Latushkin, A Sukhtayev Mathematical Modelling of Natural Phenomena 5 (4), 269-292, 2010 | 23 | 2010 |
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 | 20 | 2015 |
Renormalized oscillation theory for linear Hamiltonian systems on [0, 1] via the Maslov index P Howard, A Sukhtayev Journal of Dynamics and Differential Equations 36 (1), 535-575, 2024 | 15 | 2024 |
The Morse and Maslov Indices for Schrödinger Operators Y Latushkin, S Sukhtaiev, A Sukhtayev Journal d'Analyse Mathématique 135, 345–387, 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 | 13 | 2012 |
Diffusive stability of spatially periodic solutions of the Brusselator model A Sukhtayev, K Zumbrun, S Jung, R Venkatraman Communications in Mathematical Physics 358, 1-43, 2018 | 11 | 2018 |
Spectral stability of hydraulic shock profiles A Sukhtayev, Z Yang, K Zumbrun Physica D: Nonlinear Phenomena 405, 132360, 2020 | 10 | 2020 |
A dynamical approach to semilinear elliptic equations M Beck, G Cox, C Jones, Y Latushkin, A Sukhtayev Annales de l'Institut Henri Poincaré C, Analyse non linéaire 38 (2), 421-450, 2021 | 9 | 2021 |
The Maslov and Morse indices for Sturm-Liouville systems on the half-line P Howard, A Sukhtayev arXiv preprint arXiv:1903.07583, 2019 | 7 | 2019 |
Renormalized oscillation theory for singular linear Hamiltonian systems P Howard, A Sukhtayev Journal of Functional Analysis 283 (3), 109525, 2022 | 6 | 2022 |
Exponential dichotomies for elliptic pde on radial domains M Beck, G Cox, C Jones, Y Latushkin, A Sukhtayev Mathematics of Wave Phenomena, 49-68, 2020 | 6 | 2020 |
Diffusive stability of spatially periodic patterns with a conservation law A Sukhtayev arXiv preprint arXiv:1610.05395, 2016 | 6 | 2016 |
Hadamard-type formulas via the Maslov form Y Latushkin, A Sukhtayev Journal of Evolution Equations, 1-30, 2016 | 6 | 2016 |
Fredholm determinants, Evans functions and Maslov indices for partial differential equations G Cox, Y Latushkin, A Sukhtayev Mathematische Annalen, 1-74, 2023 | 2 | 2023 |
A Sturm–Liouville theorem for quadratic operator pencils A Sukhtayev, K Zumbrun Journal of Differential Equations 268 (7), 3848-3879, 2020 | 2 | 2020 |