Differential Equations and Dynamical Systems: Theory and Applications, 2nd Edition

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: 31 March 2025 | Viewed by 270

Special Issue Editor


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Guest Editor
Department of Mathematics, Politehnica University of Timisoara, 300006 Timisoara, Romania
Interests: stability theory of dynamical systems; nonuniform behavior; well-posed evolution equations
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Special Issue Information

Dear Colleagues,

It is well known that dynamical systems have a lot of applications in modeling the dynamics of many real-life phenomena and processes, including physics, chemistry, engineering, life sciences, economic, etc.

In the stability theory of linear dynamical systems, a central problem is finding conditions for the existence of stability, dichotomy, or trichotomy of their solutions.

This Special Issue of Axioms deals with the stability theory of continuous and discrete 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;
  • Functional equations;
  • Integral equations;
  • Impulsive equations;
  • Dynamical systems on time scales;
  • Difference equations;
  • Stochastic processes.

I look forward to receiving your contributions.

Dr. Nicolae Lupa
Guest Editor

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Keywords

  • dynamical systems
  • differential equations
  • difference equations
  • functional equations
  • integral equations
  • evolution families
  • semigroups
  • asymptotic behavior
  • stability
  • dichotomy
  • trichotomy
  • Lyapunov functions

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