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Works cited by this work

16 works

Work: Expansions of eigenvalues of a discrete bilaplacian with two-dimensional perturbation

  1. The Threshold Effects for the Two-Particle Hamiltonians on Lattices

    Sergio Albeverio, S. N. Lakaev, Konstantin A. Makarov +1

    ArticleSpectral Theory in Mathematical PhysicsCommunications in Mathematical Physics200576 citations
    ABI

  2. The bound state of weakly coupled Schrödinger operators in one and two dimensions

    Barry Simon

    Article197630 citations
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  3. On the bound state of Schrödinger operators in one dimension

    Martin Klaus

    Article197730 citations
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  4. 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

  5. Asymptotics of eigenvalues of two-particle Schrödinger operators on lattices with zero range interaction

    S. N. Lakaev, Shohruh Yu Holmatov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201120 citations
    ABI

  6. On Spectrum of the Discrete Bilaplacian with Zero-Range Perturbation

    Shokhrukh Yu. Kholmatov, Mardon Pardabaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202110 citations
    ABI

  7. Existence condition of an eigenvalue of the three particle Schr¨odinger operator on a lattice

    J. I. Abdullaev, A. M. Khalkhuzhaev, Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20236 citations
    ABI

  8. Nonlinear oscillations in a suspension bridge

    P. J. McKenna, Wolfgang Walter

    Article19874 citations
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  9. Expansion of eigenvalues of the perturbed discrete bilaplacian

    Shokhrukh Yu. Kholmatov, A. M. Khalkhuzhaev, Mardon Pardabaev

    ArticleSpectral Theory in Mathematical PhysicsMonatshefte für Mathematik20224 citations
    ABI

  10. Discrete Green’s Functions for Harmonic and Biharmonic Inpainting with Sparse Atoms

    Sebastian Hoffmann, Gerlind Plonka, Joachim Weickert

    Chapter20153 citations
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  11. Sampling for the fourth-order Sturm–Liouville differential operator

    Amin Boumenir

    Article20033 citations
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  12. A Novel Finite-Difference Approximation to the Biharmonic Operator

    Garry J. Tee

    Article19633 citations
    ABI

  13. Correction of finite element estimates for Sturm-Liouville eigenvalues

    Alan Andrew, John Paine

    Article19863 citations
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  14. Matrix methods for computing eigenvalues of Sturm–Liouville problems of order four

    Amornrat Rattana, Christine Böckmann

    Article20133 citations
    ABI

  15. Existence of solutions to a discrete fourth order boundary value problem

    John R. Graef, Shapour Heidarkhani, Lingju Kong +1

    Article20183 citations
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  16. Spline functions, the biharmonic operator and approximate eigenvalues

    Matania Ben‐Artzi, Guy Katriel

    Article20193 citations
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