IZVESTIYA MATHEMATICS

Scope & Guideline

Exploring Innovative Solutions in Mathematics

Introduction

Welcome to the IZVESTIYA MATHEMATICS information hub, where our guidelines provide a wealth of knowledge about the journal’s focus and academic contributions. This page includes an extensive look at the aims and scope of IZVESTIYA MATHEMATICS, highlighting trending and emerging areas of study. We also examine declining topics to offer insight into academic interest shifts. Our curated list of highly cited topics and recent publications is part of our effort to guide scholars, using these guidelines to stay ahead in their research endeavors.
LanguageEnglish
ISSN1064-5632
PublisherSteklov Mathematical Inst, Russian Acad Sciences
Support Open AccessNo
CountryRussian Federation
TypeJournal
Convergefrom 1993 to 2024
AbbreviationIZV MATH+ / Izv. Math.
Frequency6 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
Address8 Gubkina St, Moscow 119991, RUSSIA

Aims and Scopes

The journal 'Izvestiya Mathematics' focuses on a wide range of mathematical topics, emphasizing both theoretical advancements and practical applications. It serves as a platform for researchers to disseminate new findings in various branches of mathematics, particularly those that push the boundaries of current knowledge and methodologies.
  1. Advanced Differential Equations:
    The journal publishes research on various types of differential equations, including quasilinear, elliptic, parabolic, and fractional equations. These papers often explore stability, solvability, and boundary value problems.
  2. Algebraic Structures and Their Applications:
    A significant focus is on algebraic theories, including Lie algebras, group theory, and their applications in geometry and topology. This area highlights the interplay between algebraic constructs and other mathematical domains.
  3. Functional Analysis and Operator Theory:
    The journal features studies on functional spaces, operator theory, and their implications in mathematical physics and other applied fields. This includes work on Sobolev spaces, Rademacher chaos, and various operator norms.
  4. Geometric Analysis and Topology:
    Research in this area includes geometric structures, manifold theory, and topological properties. Papers often delve into the relationship between geometry and analysis, exploring concepts such as Chern classes and homotopy.
  5. Mathematical Physics and Applications:
    The intersection of mathematics and physics is well-represented, with papers on topics like quantum control, wave equations, and statistical mechanics. This scope emphasizes the applicability of mathematical theories in physical contexts.
Recent publications in 'Izvestiya Mathematics' highlight several emerging themes that reflect current trends in mathematical research. These themes indicate a growing interest in specific areas and methodologies that are shaping the future of mathematics.
  1. Fractional Calculus and Differential Inequalities:
    There is an increasing number of papers exploring fractional calculus and its applications in various fields, including fluid dynamics and material science. This trend reflects a growing recognition of the importance of non-integer calculus in modeling complex phenomena.
  2. Stochastic Processes and Random Walks:
    The journal has seen a rise in publications addressing stochastic processes, particularly in the context of random walks and probabilistic models. This trend indicates a heightened interest in the statistical properties of mathematical models.
  3. Nonlinear Analysis and Optimization:
    Recent works demonstrate a significant focus on nonlinear analysis, particularly in the context of optimization problems. This includes studies on critical growth conditions and variational methods, which are increasingly relevant in applied mathematics.
  4. Geometric Topology and Algebraic Geometry:
    Emerging themes in geometric topology and algebraic geometry have gained traction, with researchers exploring deep connections between these fields. This reflects a broader trend towards interdisciplinary approaches that link algebraic methods with geometric intuition.

Declining or Waning

As the field of mathematics evolves, certain themes within 'Izvestiya Mathematics' have become less prominent in recent publications. These waning scopes may reflect shifting interests within the mathematical community or the maturation of previously explored topics.
  1. Classical Mechanics and Dynamical Systems:
    While still relevant, the frequency of papers focusing specifically on classical mechanics and dynamical systems has seen a decline. This shift may indicate a broader interest in more abstract mathematical theories or computational approaches.
  2. Elementary Number Theory:
    Papers dedicated to elementary number theory concepts have become less common. This could suggest a trend towards more complex or higher-dimensional problems, leaving traditional number theory less explored.
  3. Computational Mathematics:
    Research focused on numerical methods and computational approaches appears to be waning. The decreasing number of publications in this area may reflect a saturation of previous work or a shift towards theoretical advancements.

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