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Advances in Differential Equations
H-index 6

Advances in Differential Equations

1079-9389

Published by: Khayyam Publishing, Inc.

https://projecteuclid.org/journals/advances-in-differential-equations

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 439 25 26 6

Additional Metrics

Number of Best Scientists*: 25
Documents by Best Scientists*: 26
Top 100 Ranked Scientists*: 0
SCIMAGO H-index: 61
SCIMAGO SJR: 1.285
Impact Factor: 1.9

Overview

Top Research Topics at Advances in Differential Equations?

The journal is organized to address concerns in the fields of Mathematical analysis, Nonlinear system, Pure mathematics, Bounded function and Mathematical physics. The Mathematical analysis works featured in Advances in Differential Equations incorporate elements from Boundary (topology) and Type (model theory). Topics in Nonlinear system were tackled in line with various other fields like Initial value problem and Applied mathematics.

The work on Pure mathematics addressed in it expands to the thematically related Class (set theory). Dirichlet boundary condition, Omega and Combinatorics are some topics wherein Bounded function research discussed in the journal have an impact. Studies on Omega discussed in Advances in Differential Equations link to the field of Domain (ring theory).

Some problems in Combinatorics that were presented in Advances in Differential Equations overlapped with concepts under Lambda and Nabla symbol. Many of the studies tackled connect Mathematical physics with a similar field of study like Schrödinger equation. The majority of Boundary value problem studies are focused on the issues of Mixed boundary condition.

  • Mathematical analysis (52.67%)
  • Nonlinear system (19.51%)
  • Pure mathematics (17.15%)

What are the most cited papers published in the journal?

  • Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations (366 citations)
  • On positive entire solutions to a class of equations with a singular coefficient and critical exponent (306 citations)
  • Generalized linking theorem with an application to a semilinear Schrödinger equation (284 citations)

Research areas of the most cited articles at Advances in Differential Equations:

The most cited publications generally zeroe in on subjects such as Mathematical analysis, Nonlinear system, Combinatorics, Bounded function and Uniqueness. The journal articles address concerns in Mathematical analysis which are intertwined with other disciplines, such as Type (model theory) and Boundary (topology). The studies on Bounded function discussed at the published papers can also contribute to research in the domains of Parabolic partial differential equation, Dirichlet boundary condition, Pure mathematics, Dirichlet problem and Monotonic function.

What topics the last edition of the journal is best known for?

  • Mathematical analysis
  • Quantum mechanics
  • Geometry

The previous edition focused in particular on these issues:

Advances in Differential Equations investigates studies in Pure mathematics, Omega, Mathematical physics, Type (model theory) and Class (set theory). In particular, the Pure mathematics works presented emphasize discussions on Semigroup. In addition to Omega research, the journal aims to explore topics under Bounded function and Combinatorics.

The work on Mathematical physics tackled in the journal brings together disciplines like Multiplicity (mathematics), Exponential decay and Parabolic partial differential equation. While work presented in it provided substantial information on Type (model theory), it also covered topics in Weak solution, Nabla symbol, Polynomial decay and Constant (mathematics). Issues in Class (set theory) were discussed, taking into consideration concepts from other disciplines like Differential operator, Nonlinear system, Critical point (set theory) and Laplace operator.

The most cited articles from the last journal are:

  • Trajectory statistical solutions and Liouville type theorem for nonlinear wave equations with polynomial growth (4 citations)
  • Direct And Inverse Cauchy Problems For Generalized Space-Time Fractional Differential Equations (2 citations)
  • Multiplicity and concentration results for local and fractional NLS equations with critical growth (1 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

The top authors publishing in Advances in Differential Equations (based on the number of publications) are:

  • Jerry L. Bona (9 papers) absent at the last edition,
  • Takashi Suzuki (8 papers) absent at the last edition,
  • Marta García-Huidobro (8 papers) absent at the last edition,
  • Juan Luis Vázquez (7 papers) absent at the last edition,
  • Yoshikazu Giga (7 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Only papers with recognized affiliations are considered

The top affiliations publishing in Advances in Differential Equations (based on the number of publications) are:

  • University of Tokyo (5 papers) absent at the last edition,
  • Comenius University in Bratislava (5 papers) absent at the last edition,
  • Département de Mathématiques (4 papers) absent at the last edition,
  • University of Rome Tor Vergata (4 papers) absent at the last edition,
  • Pontifical Catholic University of Chile (3 papers) absent at the last edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 94.12% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 0.00% were posted by at least one author from the top 10 institutions publishing in the journal. Another 0.00% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 0.00% of all publications and 100.00% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

  • Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
  • Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
  • Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
  • Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
  • Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.

Top Publications

  • Double phase obstacle problems with variable exponent

    (2022)
    24 Citations
  • Quasilinear double phase problems in the whole space via perturbation methods

    (2022)
    17 Citations
  • Multiplicity results of solutions to the double phase anisotropic variational problems involving variable exponent

    (2023)
    16 Citations
  • Nonlinear Liouville-type theorems for generalized Baouendi-Grushin operator on Riemannian manifolds

    (2023)
    13 Citations
  • The Dynamics of a Lotka-Volterra competition model with nonlocal diffusion and free boundaries

    Jia-Feng Cao;Wan-Tong Li;Jie Wang;Meng Zhao

    (2021)
    12 Citations
  • On a class of nonlocal Schrödinger equations with exponential growth

    (2022)
    7 Citations
  • Large time asymptotics for the fractional nonlinear Schrödinger equation

    Nakao Hayashi;Pavel I. Naumkin

    (2020)
    6 Citations
  • Global regularity and stability of solutions to the 3D double-diffusive convection system with Navier boundary conditions

    (2021)
    6 Citations
  • Existence of two positive solutions for anisotropic nonlinear elliptic equations

    (2021)
    4 Citations
  • Global weak solutions to the Navier-Stokes-Darcy-Boussinesq system for thermal convection in coupled free and porous media flows

    Xiaoming Wang;Hao Wu

    (2021)
    3 Citations

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Best Scientists Contributing to This Journal