Recent Developments in Methods, Techniques, and Approaches to Study the Qualitative Properties of Differential Equations
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: closed (31 August 2021) | Viewed by 5295
Special Issue Editors
Interests: differential/difference equations; dynamical systems; modeling and stability analysis of electric power systems; mathematics of networks; fractional calculus; mathematical modeling (power systems, materials science, energy, macroeconomics, social media, etc.); optimization for the analysis of large-scale data sets; fluid mechanics; discrete calculus; Bayes control; e-learning
Special Issues, Collections and Topics in MDPI journals
Interests: differental equations; numerical analysis; analysis; applied mathematics; nonlinear dynamics; mathematical modelling; mathematical analysis; stability
Special Issues, Collections and Topics in MDPI journals
Interests: differential and difference equations
Special Issue Information
Dear Colleagues,
Differential equations are a mathematical declaration containing one or more derivatives, terms describing the rate of change of quantities that differ continuously. They are used in a wide variety of disciplines, from biology, economics, physics, chemistry, can describe exponential growth and decay, the population growth of species, or the change in investment return over time.
In modeling virtually any physical, scientific, or biological equation, differential equations play an important role. To understand these problems and phenomena, or at least to know the features of the solutions to these equations, solutions to differential equations are necessary. However, differential equations such as those discussed that are used to solve problems in real life may not be explicitly solvable, i.e. Do not have solutions in closed form. Solutions offered by explicit formulas are only accepted by equations of simple forms. Different models of differential equations have been developed in various sciences in recent decades, strongly encouraging research into the qualitative theory of differential equations.
Recently, it is easy to notice the huge amount of works concerned with studying the qualitative behavior of differential equations. Our aim in this issue is to select and publish works that contribute significantly to the development of the qualitative theory of ordinary and partial differential equations.
Prof. Dr. Ioannis Dassios
Dr. Osama Moaaz
Dr. Ali Muhib
Guest Editors
Manuscript Submission Information
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Keywords
- Ordinary differential equations ODEs
- Partial differential equation PDEs
- Delay differential equations DDEs
- Difference equations
- Approximation, numerical methods, numerical modeling of DEs
- Asymptotic properties, stability, oscillation, boundedness, periodicity
- Exact solution of PDEs
- Physical applications of DEs
- Engineering applications of DEs
