Concepedia

Initial Value Theorems

Initial Value Theorems is a mathematical principle in transient analysis that relates the initial value of a time-domain function to the limiting behavior of its Laplace transform as the complex frequency variable approaches infinity.

363

Publications

13.9K

Citations

568

Authors

344

Institutions

Publications per year

2017–2026

52

Variants

Initial Value Theorem

Parents

Publications

363

Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity

Paolo Bartolo, Vieri Benci, Donato Fortunato · Nonlinear Analysis · 1983 · 791 citations

, , +14

Comparison of initial value and eigenvalue codes for kinetic toroidal plasma instabilities

M. Kotschenreuther, G. Rewoldt, W. M. Tang · Computer Physics Communications · 1995 · 568 citations

, , +15

Localization limiters in transient problems

David Lasry, Ted Belytschko · International Journal of Solids and Structures · 1988 · 341 citations

, , +14

BASIMETRIC APPROACH (LAW OF INITIAL VALUE) TO BIOLOGICAL RHYTHMS

Joseph Wilder · Annals of the New York Academy of Sciences · 1962 · 272 citations

, , +5

Global existence, large time behavior and life span of solutions of a semilinear parabolic Cauchy problem

Tzong-Yow Lee, Wei‐Ming Ni · Transactions of the American Mathematical Society · 1992 · 226 citations

, , +15

1–5 of 363

Authors

568

  1. RE
    Robert E. Kalaba

    RAND Corporation, United States

    10 publications · 202 citations

    10

    h-index

  2. HK
    H. Kagiwada

    RAND Corporation, United States

    5 publications · 84 citations

    5

    h-index

  3. TT
    Tom T. Hartley

    University of Akron, United States

    5 publications · 162 citations

    5

    h-index

  4. CF
    Carl F. Lorenzo

    Glenn Research Center, United States

    5 publications · 162 citations

    5

    h-index

  5. MR
    Melvin R. Scott

    Sandia National Laboratories California, United States

    4 publications · 174 citations

    4

    h-index

1–5 of 568

Institutions

344

  1. University of Southern California

    Los Angeles, United States

    9 h-index

    13 publications

    233 citations

  2. University of Akron

    Akron, United States

    5 h-index

    6 publications

    172 citations

  3. Glenn Research Center

    Cleveland, United States

    5 h-index

    5 publications

    162 citations

  4. University of Nevada, Las Vegas

    Las Vegas, United States

    4 h-index

    4 publications

    43 citations

  5. Centre National de la Recherche Scientifique

    Paris, France

    4 h-index

    5 publications

    107 citations

  6. University of Maryland, College Park

    College Park, United States

    4 h-index

    4 publications

    361 citations

  7. Université de Lille

    Lille, France

    3 h-index

    5 publications

    138 citations

  8. Atilim University

    Ankara, Türkiye

    3 h-index

    3 publications

    109 citations

1–8 of 344

Venues

  1. 13

    h-index

  2. Nonlinear Analysis

    10 publications · 1K citations

    10

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 9 publications · 967 citations

    9

    h-index

  4. Journal of Differential Equations

    8 publications · 235 citations

    8

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 8 publications · 281 citations

    8

    h-index

1–5