Dynamic Systems and Differential Equations
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 31 December 2025 | Viewed by 184
Special Issue Editor
Special Issue Information
Dear Colleagues,
It is well known that differential equations are the most successive tools in modeling real-world phenomena and processes, including physics, chemistry, engineering, life sciences, and economics.
Scientists and engineers have come to realize the power and the beauty of the geometric, computational, and qualitative techniques needed for the analysis of differential equations and dynamic systems.
With the availability of computers for the study of differential equations, a number of important nonlinear problems ranging from physics and chemistry to ecology and economics which once seemed completely intractable from an analytic point of view can now be understood in a geometric or qualitative sense rather easily. The chaotic and random behavior of solutions of deterministic systems is now understood to be an inherent feature of many nonlinear systems.
This Special Issue of Axioms deals with differential equations and dynamical systems and their advanced applications. Original research articles and reviews are welcome. Research areas may include (but are not limited to) the following:
- Ordinary differential equations;
- Partial differential equations;
- Delay differential equations;
- Fractional differential equations;
- Modeling with differential equations;
- Functional equations;
- Integral equations and integral transforms;
- Numerical methods;
- Ill-posed problems and their regularizations;
- Dynamical systems on time scales;
- Difference equations;
- Chaos.
Prof. Dr. Vladimir A. Dobrushkin
Guest Editor
Manuscript Submission Information
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Keywords
- ordinary differential equations
- partial differential equations
- delay differential equations
- fractional differential equations
- modeling with differential equations
- functional equations
- integral equations and integral transforms
- numerical methods
- ill-posed problems and their regularizations
- dynamical systems on time scales
- difference equations
- chaos
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