Matematicki Vesnik
Scope & Guideline
Exploring the frontiers of mathematics with every issue.
Introduction
Aims and Scopes
- Boundary Value Problems and Differential Equations:
The journal regularly publishes studies on boundary value problems, including both classical and fractional differential equations, showcasing methods for existence, uniqueness, and multiplicity of solutions. - Fixed Point Theory:
A significant portion of the research is dedicated to fixed point theorems, particularly in metric spaces, with applications in various mathematical and applied contexts. - Geometric Analysis:
Research on geometric properties of spaces, including Riemannian geometry and metric spaces, is a core area, reflecting an interest in the intersection of geometry and analysis. - Algebraic Structures and Graph Theory:
The journal features work on algebraic structures, including semimodules and rings, as well as graph theory, emphasizing their applications in combinatorial mathematics. - Function Spaces and Functional Analysis:
Contributions involving function spaces, operator theory, and their applications to differential equations highlight the journal's commitment to functional analysis. - Mathematical Modelling and Applications:
The journal also includes articles on mathematical modelling, particularly in applied mathematics, which bridges theoretical research with practical applications.
Trending and Emerging
- Fractional Differential Equations:
There is an increasing focus on fractional differential equations, which are essential for modeling complex phenomena in various fields, including physics and engineering. - Harmonic and Univalent Mappings:
The study of harmonic and univalent mappings has gained traction, emphasizing their importance in complex analysis and potential applications in various mathematical contexts. - Optimal Control Problems:
Research on optimal control problems is emerging, reflecting a growing interest in mathematical optimization and its applications in engineering and economics. - Topological Spaces and Generalized Metrics:
There is a rising trend in the exploration of generalized metrics and topological spaces, indicating a deeper investigation into foundational aspects of mathematics. - Algebraic Topology and Graph Theory Interactions:
The interplay between algebraic topology and graph theory is becoming more prominent, suggesting a trend towards integrating these fields to address complex mathematical questions.
Declining or Waning
- Classical Numerical Methods:
There has been a noticeable decline in papers focusing on classical numerical methods, as newer computational techniques and algorithms gain traction in the mathematical community. - Elementary Number Theory:
Research in elementary number theory appears to be waning, possibly overshadowed by more complex and abstract algebraic studies that capture current academic interest. - Traditional Combinatorial Problems:
While combinatorial mathematics remains important, traditional problems are being replaced by more sophisticated approaches that integrate combinatorial aspects with other mathematical fields. - Static Mathematical Models:
The journal has seen fewer submissions related to static models, suggesting a shift towards dynamic systems and models that account for change over time.
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