Concepedia

Eigenvalue Problems For Integral Equations

Eigenvalue Problems for Integral Equations is a mathematical framework within the theory of integral equations that characterizes the conditions under which a nontrivial solution exists for a homogeneous integral equation involving a parameter, by determining the specific values of this parameter—known as eigenvalues—for which the associated integral operator fails to be invertible.

253

Publications

17.4K

Citations

388

Authors

246

Institutions

Publications per year

2017–2026

18

Parents

Publications

253

An iteration method for the solution of the eigenvalue problem of linear differential and integral operators

Cornelius Lanczos · Journal of research of the National Bureau of Standards · 1950 · 4.4K citations · Full text

, , +16

Integrals of nonlinear equations of evolution and solitary waves

Peter D. Lax · Communications on Pure and Applied Mathematics · 1968 · 3.1K citations

, , +14

On the scattering problem for the Camassa-Holm equation

Adrian Constantin · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 2001 · 690 citations

, , +13

An integral method for solving nonlinear eigenvalue problems

Wolf‐Jürgen Beyn · Linear Algebra and its Applications · 2011 · 321 citations

, , +12

On the numerical inversion of the Laplace transform and similar Fredholm integral equations of the first kind

J.G. McWhirter, E. R. Pike · Journal of Physics A Mathematical and General · 1978 · 311 citations

, , +17

1–5 of 253

Authors

388

  1. GN
    Gnaneshwar Nelakanti

    Indian Institute of Technology Kharagpur, India

    5 publications · 89 citations

    5

    h-index

  2. JC
    Jeng‐Tzong Chen

    National Taiwan Ocean University, Taiwan

    4 publications · 223 citations

    4

    h-index

  3. KL
    Kunquan Lan

    Toronto Metropolitan University, Canada

    4 publications · 231 citations

    4

    h-index

  4. AS
    A. S. Fokas

    University of Cambridge, United Kingdom

    4 publications · 357 citations

    4

    h-index

  5. BL
    Bijaya Laxmi Panigrahi

    Indian Institute of Technology Kharagpur, India

    4 publications · 72 citations

    4

    h-index

1–5 of 388

Institutions

246

  1. Indian Institute of Technology Kharagpur

    Kharagpur, India

    5 h-index

    6 publications

    102 citations

  2. Sandia National Laboratories California

    Livermore, United States

    4 h-index

    5 publications

    66 citations

  3. National Taiwan Ocean University

    Keelung, Taiwan

    4 h-index

    7 publications

    458 citations

  4. Stanford University

    Stanford, United States

    3 h-index

    3 publications

    105 citations

  5. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    4 publications

    146 citations

  6. University of Cambridge

    Cambridge, United Kingdom

    3 h-index

    3 publications

    188 citations

  7. Uppsala University

    Uppsala, Sweden

    3 h-index

    3 publications

    85 citations

  8. Vanderbilt University

    Nashville, United States

    3 h-index

    4 publications

    99 citations

1–8 of 246

Venues

  1. SIAM Journal on Applied Mathematics

    8 publications · 189 citations

    8

    h-index

  2. Journal of Physics A Mathematical and General

    8 publications · 517 citations

    8

    h-index

  3. Journal of Mathematical Physics

    7 publications · 193 citations

    7

    h-index

  4. 7

    h-index

  5. 6

    h-index

1–5