Concepedia

Singularly Perturbed Initial Value Problems

Singularly Perturbed Initial Value Problems is an initial value problem for a differential equation involving a small parameter that multiplies the highest derivative, leading to solutions with multiscale behavior characterized by rapid changes in boundary or interior layers, distinguishing it from regular perturbations where the solution varies on a single scale.

875

Publications

36.8K

Citations

1.1K

Authors

639

Institutions

Publications per year

2017–2026

107

Variants

Singularly Perturbed Ivps

Parents

Publications

875

Geometric singular perturbation theory for ordinary differential equations

Neil Fenichel · Journal of Differential Equations · 1979 · 2.4K citations

, , +13

Singular perturbation methods in control: analysis and design

Mathematics and Computers in Simulation · 1987 · 1.3K citations

, , +11

Introduction to Singular Perturbations

Wolfgang Wasow, Robert E. O’Malley · Mathematics of Computation · 1975 · 955 citations

, , +12

Semilinear elliptic equations with singular nonlinearities

Lucio Boccardo, Luigi Orsina · Calculus of Variations and Partial Differential Equations · 2009 · 320 citations

, , +9

On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems

Wei‐Ming Ni, Juncheng Wei · Communications on Pure and Applied Mathematics · 1995 · 295 citations

, , +11

1–5 of 875

Authors

1.1K

  1. RE
    Robert E. O’Malley

    Courant Institute of Mathematical Sciences, United States

    17 publications · 1.7K citations

    16

    h-index

  2. NR
    N. Ramanujam

    Bharathidasan University, India

    19 publications · 561 citations

    16

    h-index

  3. GM
    Gabil M. Amiraliyev

    Van Yüzüncü Yıl Üniversitesi, Türkiye

    15 publications · 447 citations

    14

    h-index

  4. JW
    Juncheng Wei

    Chinese University of Hong Kong, Hong Kong SAR China

    15 publications · 1.1K citations

    14

    h-index

  5. MK
    Mohan K. Kadalbajoo

    Indian Institute of Technology Kanpur, India

    11 publications · 583 citations

    11

    h-index

1–5 of 1.1K

Institutions

639

  1. Bharathidasan University

    Tiruchchirappalli, India

    18 h-index

    44 publications

    1.4K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    16 h-index

    23 publications

    1.1K citations

  3. Lomonosov Moscow State University

    Moscow, Russia

    13 h-index

    16 publications

    351 citations

  4. Chinese University of Hong Kong

    Hong Kong, Hong Kong

    12 h-index

    12 publications

    802 citations

  5. Indian Institute of Technology Kanpur

    Kanpur, India

    12 h-index

    22 publications

    916 citations

  6. Laboratoire de Mathématiques Blaise Pascal

    Aubière, France

    11 h-index

    16 publications

    487 citations

  7. Technion – Israel Institute of Technology

    Haifa, Israel

    10 h-index

    12 publications

    354 citations

  8. Tsinghua University

    Beijing, China

    10 h-index

    17 publications

    675 citations

1–8 of 639

Venues

  1. Journal of Differential Equations

    72 publications · 5.7K citations

    33

    h-index

  2. Applied Mathematics and Computation

    50 publications · 1.5K citations

    24

    h-index

  3. Journal of Mathematical Analysis and Applications

    45 publications · 1.1K citations

    21

    h-index

  4. Nonlinear Analysis

    36 publications · 883 citations

    18

    h-index

  5. Journal of Computational and Applied Mathematics

    22 publications · 904 citations

    18

    h-index

1–5