Nataliia Goloshchapova

Research interests

Stability theory for nonlinear differential equations.Operator theory, spectral theory. Theory of extensions of symmetric operators, boundary triplets approach.     Lattes    ResearchGate

Seminar "Differential Equations"

Seminar "Operator Theory and Its Applications"


Articles and Preprints

  1. L.Cely, N. Goloshchapova, Variational and stability properties of a nonlinear Schrödinger system on a star graph. accepted in Nonlinear Analysis.
  2. N. Goloshchapova, Dynamical and variational properties of NLS-δ´ equation on the star graph. Journal of Differential Equations 310 (2022), pp. 1-44 PDF
  3. A.H. Ardila, L. Cely, N. Goloshchapova, Instability of ground states for the NLS equation with potential on the star graph. Journal Evolution Equations 21 (2021), pp. 3703–3732 PDF
  4. N. Goloshchapova, A nonlinear Klein-Gordon equation on star graphs. Mathematische Nachrichten. 294 (2021), pp. 1742-1764 PDF
  5. N. Goloshchapova, M. Ohta, Blow-up and strong instability of standing waves for the NLS-δ equation on a star graph. Nonlinear Analysis 196 (2020), 111753. PDF
  6. J. Angulo Pava, N. Goloshchapova, Stability of bump-like standing waves for NLS equation with the δ´-interaction. Physica D: Nonlinear Phenomena 403 (2020), 132332.
  7. N. Goloshchapova, On the standing waves of the NLS-log equation with point interaction on a star graph. Journal of Mathematical Analysis and Applications 473 (2019), no. 1, pp. 53-70 PDF
  8. J. Angulo Pava, N. Goloshchapova, On the orbital instability of excited states for the NLS equation with the δ-interaction on a star graph. Discrete and Continuous Dynamical Systems 38 (2018), no.10, pp. 5039-5066 PDF
  9. J. Angulo Pava, N. Goloshchapova, Extension theory approach in the stability of the standing waves for the NLS equation with point interactions on a star graph. Advances in Differential Equations 23 (2018), no. 11-12, pp. 793-846 PDF
  10. J. Angulo Pava, N. Goloshchapova, Stability of standing waves for NLS-log equation with δ-interaction. Nonlinear Differential Equations and Applications 24 (2017), no. 3. PDF
  11. A. Ananieva, N. Goloshchapova, On the extremal extensions of a positive defnite Jacobi operator. Methods of Functional Analysis and Topology 19 (2013), no.4, pp. 310-318.PDF
  12. N. Goloshchapova, M. Malamud, and V. Zastavnyi, Radial positive definite functions and spectral theory of the Schrödinger Operators with Point Interactions. Mathematische Nachrichten 285 (2012), no. 14-15, pp. 1839-1859. PDF.
  13. N. Goloshchapova, M. Malamud, and V. Zastavnyi, On the spectrum of Multi-Dimensional Schrödinger Operators with Point Interactions. Mathematical Notes 90 (2011), no. 1, pp. 152-157. English version  Russian version(PDF).
  14. N. Goloshchapova, On the Multi-Dimensional Schrödinger Operators with Point Interactions. Methods of Functional Analysis and Topology 17 (2011), no.2, pp. 126-143. PDF
  15. N. Goloshchapova, L. Oridoroga, On the Negative Spectrum of One-Dimensional Schrödinger Operators with Point Interactions. Integral Equations and Operator Theory 6 (2010), no. 1, pp. 1-14. PDF
  16. N. Goloshchapova, L. Oridoroga, Schrödinger Operators with δ- and δ'-interactions. Mathematical Notes 84 (2008), no. 1-2, pp. 125-129. English version Russian version
  17. N. Goloshchapova, L. Oridoroga, Differential operators of order four with local point interactions. Ukrainian Mathematical Bulletin 3 (2007), no. 3, pp. 351-364. Russian version(PDF)