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28 works

Work: Perturbation Theory for Linear Operators

  1. Asymptotic behavior of an eigenvalue of the two-particle discrete Schrödinger operator

    S. N. Lakaev, A. M. Khalkhuzhaev, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics201221 citations
    ABI

  2. Bound states of Schrödinger-type operators on one and two dimensional lattices

    Shokhrukh Yu. Kholmatov, S. N. Lakaev, Firdavsjon M. Almuratov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications202115 citations
    ABI

  3. Perturbation Theory for the Two-Particle Schrodinger Operator on a One-Dimensional Lattice

    J. I. Abdullaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200510 citations
    ABI

  4. Bound states of a two-boson system on a two-dimensional lattice

    Zh. I. Abdullaev, Komil Kuliev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20168 citations
    ABI

  5. The cauchy problem for BBGKY hierarchy of quantum kinetic equations with coulomb potential

    Martin Brokate, M. Yu. Rasulova

    ArticleAdvanced Mathematical Physics ProblemsPhysics of Particles and Nuclei20102 citations
    ABI

  6. Spectral analysis of two-particle Hamiltonians with short-range interactions

    M. O. Akhmadova, M. A. Azizova

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20252 citations
    ABI

  7. The Magnetic Laplacian in Shrinking Tubular Neighborhoods of Hypersurfaces

    David Krejčiřı́k, Nicolas Raymond, Matěj Tušek

    ArticleSpectral Theory in Mathematical PhysicsJournal of Geometric Analysis20141 citations
    ABI

  8. Evolution of a quantum system of many particles interacting via the generalized Yukawa potential

    N. N. Bogoli︠u︡bov, M. Yu. Rasulova, Umarbek Avazov

    ArticleCold Atom Physics and Bose-Einstein CondensatesTheoretical and Mathematical Physics20161 citations
    ABI

  9. Perturbation of Fredholm eigenvalues of linear operators

    D. G. Rakhimov

    ArticleMatrix Theory and AlgorithmsDifferential Equations20171 citations
    ABI

  10. Spectral estimates for the bounds of an operator matrix of order three

    Tulkin H. Rasulov, M. Yu. Sharipova

    ArticleSpectral Theory in Mathematical PhysicsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20251 citations
    ABI

  11. Spectral Estimates for the Bounds of an Operator Matrix of Order Three

    Tulkin H. Rasulov, M. Yu. Sharipova

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20251 citations
    ABI

  12. The Discrete Spectrum of the Generalized Friedrichs Model with a Rank-Two Perturbation

    Sh. Kh. Kurbanov, S. S. Abduvayitov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20251 citations
    ABI

  13. Decay, symmetry and existence of solutions of semilinear elliptic systems

    Djairo G. de Figueiredo, Jianfu Yang

    ArticleNonlinear Partial Differential EquationsNonlinear Analysis19980 citations
    ABI

  14. Unbounded planar domains whose second nodal line does not touch the boundary

    Pedro Freitas, Krejcirik, D.

    PreprintNonlinear Partial Differential EquationsArXiv.org20050 citations
    ABI

  15. Waveguides with Combined Dirichlet and Robin Boundary Conditions

    Pedro Freitas, David Krejčiřı́k

    ArticleSpectral Theory in Mathematical PhysicsMathematical Physics Analysis and Geometry20060 citations
    ABI

  16. On the spectrum of the Schrödinger operator perturbed by a rapidly oscillating potential

    D. I. Borisov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Sciences20060 citations
    ABI

  17. Unbounded planar domains whose second nodal line does not touch the boundary

    Pedro Freitas, David Krejčiřı́k

    ArticleNonlinear Partial Differential EquationsMathematical Research Letters20070 citations
    ABI

  18. Spectrum of the Metric Operator of a Simple -Symmetric Model

    Jakub Železný

    ArticleQuantum Mechanics and Non-Hermitian PhysicsInternational Journal of Theoretical Physics20100 citations
    ABI

  19. Non-Hermitian Star-shaped Quantum Graphs

    Miloslav Znojil

    PreprintSpectral Theory in Mathematical PhysicsActa Polytechnica20130 citations
    ABI

  20. On the Bound States of Schr\"odinger Operators with $\delta$-interactions on Conical Surfaces

    Vladimir Lotoreichik, Thomas Ourmières-Bonafos

    ArticleSpectral Theory in Mathematical PhysicsarXiv (Cornell University)20150 citations
    ABI

  21. Hardy Inequalities in Globally Twisted Waveguides

    Philippe Briet, Hiba Hammedi, David Krejčiřı́k

    ArticleSpectral Theory in Mathematical PhysicsLetters in Mathematical Physics20150 citations
    ABI

  22. Applications

    Anna Skripka, Anna Tomskova

    ChapterSpectral Theory in Mathematical PhysicsLecture notes in mathematics20190 citations
    ABI

  23. Dissipative flow equations

    Lorenzo Rosso, Fernando Iemini, Marco Schirò +1

    ArticleQuantum Mechanics and Non-Hermitian PhysicsSciPost Physics20200 citations
    ABI

  24. A Mathematical Tool to Investigate the Stability Analysis of Structured Uncertain Dynamical Systems with M-Matrices

    Mutti-Ur Rehman, Jehad Alzabut, Nahid Fatima +1

    ArticleStability and Control of Uncertain SystemsMathematics20230 citations
    ABI

  25. The Infiniteness of the Number of Eigenvalues of the Schrödinger Operator of a System of Two Particles on a Lattice

    J. I. Abdullaev, A. M. Khalkhuzhaev, Kh. Sh. Makhmudov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20240 citations
    ABI