Concepedia

Ill-posed Integral Equations

Ill-Posed Integral Equations is an integral equation in which the existence, uniqueness, or stability of the solution fails to satisfy one or more of the Hadamard criteria, thereby distinguishing it from well-posed integral equations by exhibiting sensitivity to small perturbations in the input data.

271

Publications

9.5K

Citations

439

Authors

283

Institutions

Publications per year

2017–2026

36

Parents

Publications

271

On the Well-Posedness of the Kirchhoff String

Alberto Arosio, Stefano Panizzi · Transactions of the American Mathematical Society · 1996 · 541 citations · Full text

, , +12

Restoring Images Degraded by Spatially Variant Blur

James G. Nagy, Dianne P. O’Leary · SIAM Journal on Scientific Computing · 1998 · 231 citations

, , +12

Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets

E. Babolian, A. Shahsavaran · Journal of Computational and Applied Mathematics · 2008 · 182 citations

, , +13

Nonlinear integral equations and the iterative solution for an inverse boundary value problem

William Rundell · Inverse Problems · 2005 · 174 citations · Full text

, , +16

A Bidiagonalization-Regularization Procedure for Large Scale Discretizations of Ill-Posed Problems

Dianne P. O’Leary, John A. Simmons · SIAM Journal on Scientific and Statistical Computing · 1981 · 173 citations

, , +16

1–5 of 271

Authors

439

  1. DO
    Donal O’Regan

    Ollscoil na Gaillimhe – University of Galway, Ireland

    9 publications · 268 citations

    9

    h-index

  2. JB
    Józef Banaś

    Rzeszów University of Technology, Poland

    8 publications · 255 citations

    8

    h-index

  3. RP
    Ravi P. Agarwal

    Florida Institute of Technology, United States

    7 publications · 92 citations

    7

    h-index

  4. BH
    Bernd Hofmann

    Chemnitz University of Technology, Germany

    5 publications · 156 citations

    5

    h-index

  5. KA
    Kh. A. Khachatryan

    National Academy of Sciences of Armenia, Armenia

    5 publications · 72 citations

    5

    h-index

1–5 of 439

Institutions

283

  1. Ollscoil na Gaillimhe – University of Galway

    Galway, Ireland

    9 h-index

    11 publications

    341 citations

  2. Rzeszów University of Technology

    Rzeszów, Poland

    8 h-index

    11 publications

    393 citations

  3. Nanyang Technological University

    Singapore, Singapore

    5 h-index

    9 publications

    110 citations

  4. Islamic Azad University Sari Branch

    Sari, Iran

    5 h-index

    8 publications

    262 citations

  5. Chinese Academy of Sciences

    Beijing, China

    5 h-index

    7 publications

    120 citations

  6. University of Delaware

    Newark, United States

    4 h-index

    4 publications

    291 citations

  7. University of Calabria

    Rende, Italy

    4 h-index

    7 publications

    464 citations

  8. Rajiv Gandhi University

    Itanagar, India

    4 h-index

    4 publications

    118 citations

1–8 of 283

Venues

  1. 18

    h-index

  2. Applied Mathematics and Computation

    20 publications · 495 citations

    15

    h-index

  3. Inverse Problems

    16 publications · 692 citations

    14

    h-index

  4. Journal of Computational and Applied Mathematics

    11 publications · 492 citations

    11

    h-index

  5. Nonlinear Analysis

    11 publications · 359 citations

    10

    h-index

1–5