Special Issue "Qualitative Analysis of Differential Equations: Theory and Applications"
Deadline for manuscript submissions: 30 November 2023 | Viewed by 4667
Interests: ordinary differential equations; functional differential equations; integro-differential equations; applied mathematics
Interests: zero-solution; Lyapunov function; parabolic systems; switched systems; average dwell time; nonlinear dynamics; fuzzy differential equations; fuzzy numbers; differentiability
Interests: differential equations; difference equations; oscillatory behavior; asymptotic behavior
Special Issues, Collections and Topics in MDPI journals
In the past year, qualitative analyses, i.e., analyses of the stability, boundedness, integrability, existence and uniqueness of solutions of functional differential equations (delay differential equations, neutral differential equations, advanced differential equations and impulsive differential equations); dynamic models; integral equations; integro-differential equations; partial differential equations; fractional differential equations; fractional integro-differential equations; fractional partial differential equations; etc., have attracted the attention of numerous researchers at the theoretical level and at the level of their applications. From the relevant literature, it can be observed that numerous processes and problems in biology, the interactions between species, population dynamics, microbiology, distributed networks, mechanics, medicine, nuclear reactors, chemistry, distributed networks, epidemiology, physics, engineering, economics, physiology, viscoelasticity, etc. can be modelled mathematically by these kind of equations.
Therefore, these kind of equations have vital, important roles in real world applications. However, these kind of equations can be solved analytically in particular cases, but not numerically. Qualitative theory can enable us to obtain information about the behaviour of solutions without prior information on them by means of Lyapunov’s second method, the fixed-point method, the Lyapunov–Krasovskii method, and so on. The aim of this SI is to collect some new theoretical contributions and real-world applications with regard to the qualitative theory of the equations mentioned above.
Dr. Osman Tunç
Prof. Dr. Vitalii Slynko
Prof. Dr. Sandra Pinelas
Manuscript Submission Information
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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
- qualitative theory
- qualitative analysis
- ordinary differential equations
- partial differential equations
- functional differential equations (delay differential equations, neutral differential equations, advanced differential equations, and impulsive differential equations)
- integral equations
- integro-differential equations
- fractional calculus
- fractional differential equations
- fractional integral equations
- fractional integro-differential equations
- fractional partial differential equations
- fractional partial integro-differential equations
- dynamical models of integer orders
- dynamical models of fractional orders
- Lyapunov’s second method
- fixed-point method
- Lyapunov–Krasovskii method
- control theory
- real-world applications
- numerical simulations