Concepedia

Comparison Theorems

Comparison Theorems is a theoretical framework within the study of difference equations that establishes conditions under which solutions of different equations can be ordered or bounded relative to one another based on the comparison of their defining sequences or initial conditions.

384

Publications

12.8K

Citations

533

Authors

332

Institutions

Publications per year

2017–2026

35

Parents

Publications

384

Eigenvalue comparison theorems and its geometric applications

Shiu‐Yuen Cheng · Mathematische Zeitschrift · 1975 · 572 citations

, , +11

Comparison Theorems for Reversible Markov Chains

Persi Diaconis, Laurent Saloff‐Coste · The Annals of Applied Probability · 1993 · 441 citations · Full text

, , +8

Teoriya raznostnykh skhem (Theory of difference schemes)

USSR Computational Mathematics and Mathematical Physics · 1978 · 271 citations

, , +7

A compendium of comparison function results

Christopher M. Kellett · Mathematics of Control Signals and Systems · 2014 · 228 citations · Full text

, , +14

Clunie theorems for difference and <i>q</i>-difference polynomials

Ilpo Laine, Chung-Chun Yang · Journal of the London Mathematical Society · 2007 · 225 citations

, , +6

1–5 of 384

Authors

533

  1. CA
    Charles A. Swanson

    University of British Columbia, Canada

    9 publications · 170 citations

    9

    h-index

  2. LE
    Lynn Erbe

    University of Nebraska–Lincoln, United States

    9 publications · 226 citations

    9

    h-index

  3. AP
    Allan Peterson

    University of Nebraska–Lincoln, United States

    7 publications · 226 citations

    7

    h-index

  4. SR
    Said R. Grace

    Cairo University, Egypt

    4 publications · 79 citations

    4

    h-index

  5. CP
    Carmen Perea

    Universitat de Miguel Hernández d'Elx, Spain

    4 publications · 101 citations

    4

    h-index

1–5 of 533

Institutions

332

  1. Masaryk University

    Brno, Czechia

    8 h-index

    9 publications

    152 citations

  2. Shandong University

    Jinan, China

    7 h-index

    8 publications

    321 citations

  3. University of Nebraska–Lincoln

    Lincoln, United States

    6 h-index

    11 publications

    461 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    5 h-index

    9 publications

    122 citations

  5. Lomonosov Moscow State University

    Moscow, Russia

    5 h-index

    5 publications

    120 citations

  6. Florida Institute of Technology

    Melbourne, United States

    5 h-index

    5 publications

    195 citations

  7. University of Minnesota

    Minneapolis, United States

    4 h-index

    6 publications

    226 citations

  8. Concordia University

    Montreal, Canada

    4 h-index

    6 publications

    112 citations

1–8 of 332

Venues

  1. Proceedings of the American Mathematical Society

    PROC · 27 publications · 884 citations

    17

    h-index

  2. 16

    h-index

  3. Journal of Differential Equations

    12 publications · 315 citations

    10

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 12 publications · 299 citations

    10

    h-index

  5. Pacific Journal of Mathematics

    9 publications · 278 citations

    9

    h-index

1–5