Rendiconti del Circolo Matematico di Palermo
Scope & Guideline
Fostering Scholarly Dialogue Across Mathematical Disciplines.
Introduction
Aims and Scopes
- Algebra and Number Theory:
The journal publishes research on various aspects of algebra, including group theory, ring theory, and number theory. This includes studies on ideals, derivations, and algebraic structures. - Analysis and Differential Equations:
A significant focus is on real and complex analysis, as well as differential equations, including both ordinary and partial differential equations. This encompasses topics like stability, controllability, and boundary value problems. - Functional Analysis and Operator Theory:
Research on functional analysis, operator theory, and related fields is prominently featured. This includes studies on linear operators, spectral theory, and fixed point theorems. - Geometry and Topology:
The journal includes contributions to geometric analysis and topology, covering topics such as manifolds, curvature, and geometric structures. - Fractional Calculus and Nonlocal Problems:
There is a growing interest in fractional calculus and nonlocal problems, reflecting the journal's commitment to contemporary mathematical issues and methodologies. - Numerical Analysis and Approximation Theory:
The journal also encompasses numerical methods, approximation theory, and their applications in solving mathematical models.
Trending and Emerging
- Fractional Calculus:
The increasing number of publications on fractional calculus indicates a rising interest in non-integer order derivatives and their applications in various fields such as physics and engineering. - Mathematical Modeling and Applications:
There is a notable trend towards mathematical modeling, particularly in relation to real-world phenomena such as population dynamics, epidemiology, and complex systems, showcasing the journal's relevance to applied mathematics. - Nonlinear Analysis and Partial Differential Equations:
Recent years have seen an upsurge in research focusing on nonlinear analysis and the study of partial differential equations, reflecting a broader trend in addressing complex systems with nonlinear dynamics. - Computational Mathematics:
Research integrating computational techniques and numerical methods into theoretical studies is on the rise, indicating a blend of theoretical and practical approaches in contemporary mathematics. - Operator Theory and Functional Analysis:
There is a growing body of work in operator theory and functional analysis, emphasizing the significance of these areas in understanding mathematical structures and their applications.
Declining or Waning
- Classical Geometry:
Research papers focusing on classical geometry, including traditional studies of geometric constructions and properties, have seen a decline in favor of more modern and applied geometrical studies. - Elementary Number Theory:
There has been a noticeable decrease in papers centered around elementary number theory, as researchers tend to explore more complex and abstract algebraic structures. - Discrete Mathematics:
Publications in discrete mathematics, including combinatorial studies and graph theory, have diminished, possibly due to a shift towards continuous mathematical models and applications. - Real Analysis without Applications:
Papers focused solely on theoretical aspects of real analysis without practical applications have become less common, as there is a trend towards integrating theory with application.
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