Differential and Integral Equations

Scope & Guideline

Connecting Theory and Application in Mathematics

Introduction

Welcome to your portal for understanding Differential and Integral Equations, featuring guidelines for its aims and scope. Our guidelines cover trending and emerging topics, identifying the forefront of research. Additionally, we track declining topics, offering insights into areas experiencing reduced scholarly attention. Key highlights include highly cited topics and recently published papers, curated within these guidelines to assist you in navigating influential academic dialogues.
LanguageEnglish
ISSN0893-4983
PublisherKHAYYAM PUBL CO INC
Support Open AccessNo
CountryUnited States
TypeJournal
Convergefrom 1988 to 1995, from 2009 to 2014, from 2016 to 2024
AbbreviationDIFFER INTEGRAL EQU / Differ. Integral Equ.
Frequency12 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressPO BOX 429, ATHENS, OH 45701

Aims and Scopes

The journal 'Differential and Integral Equations' focuses on the dissemination of high-quality research concerning various aspects of differential equations, particularly those involving novel methodologies and complex boundary conditions. It serves as a platform for researchers to share significant findings that contribute to the theoretical and applied understanding of differential and integral equations.
  1. Theoretical Advances in Differential Equations:
    The journal emphasizes theoretical research that advances the understanding of differential equations, including existence, uniqueness, and stability of solutions.
  2. Nonlinear Dynamics and Boundary Value Problems:
    A significant portion of the journal's content is dedicated to nonlinear differential equations, particularly exploring boundary value problems, blow-up phenomena, and critical nonlinearities.
  3. Applications in Mathematical Physics and Biology:
    Research articles often apply differential equations to model phenomena in physics, biology, and engineering, showcasing the interdisciplinary nature of the field.
  4. Numerical Methods and Computational Approaches:
    The journal also publishes studies that develop numerical methods for solving differential equations, highlighting the importance of computational techniques in modern research.
  5. Fractional and Nonlocal Differential Equations:
    There is a growing focus on fractional differential equations and nonlocal problems, reflecting current trends in applied mathematics and mathematical modeling.
The journal has seen a significant evolution in its focus areas, with emerging themes reflecting the latest advancements in mathematical theory and applications. These trending topics indicate where the field is heading and the growing interests of the research community.
  1. Nonlinear Schrödinger Equations:
    A surge in publications related to nonlinear Schrödinger equations showcases their relevance in quantum mechanics and optics, highlighting new analytical and numerical approaches.
  2. Fractional Calculus and Nonlocal Models:
    The increasing interest in fractional calculus and nonlocal models represents a trend towards addressing complex phenomena in various scientific fields, including physics and biology.
  3. Stochastic Differential Equations:
    There is a growing body of work focusing on stochastic differential equations, reflecting the need to understand systems influenced by randomness and uncertainty.
  4. Mathematical Biology Applications:
    Research articles applying differential equations to biological systems, such as population dynamics and disease modeling, are becoming more prevalent, indicating a trend towards interdisciplinary studies.
  5. Dynamic Systems with Memory Effects:
    Emerging studies on systems with memory effects illustrate the complexity of modern applications, particularly in materials science and biological systems.

Declining or Waning

While the journal continues to thrive in many areas, certain themes have seen a noticeable decline in publication frequency over the years. These waning scopes reflect shifts in research interest and emerging methodologies that have taken precedence.
  1. Classical Linear Differential Equations:
    Research focusing on classical linear differential equations has become less prominent, as the field shifts towards nonlinear and more complex systems that exhibit richer dynamics.
  2. Static Boundary Condition Problems:
    There is a decreasing emphasis on problems involving static boundary conditions, as more research is directed towards dynamic and time-dependent boundary conditions that reflect real-world scenarios.
  3. Traditional Analytical Techniques:
    The reliance on traditional analytical methods is waning, with a noticeable shift towards numerical simulations and computational techniques for solving complex equations.
  4. Homogeneous Equations:
    Studies centered on homogeneous differential equations are becoming less common, possibly due to the increasing complexity and applicability of inhomogeneous models in various fields.

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