## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Foundations of Data Science
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- AIMS Mathematics
- Conference Publications
- Electronic Research Announcements
- Mathematics in Engineering

### Open Access Journals

DCDS

We study Cauchy problems associated to
partial differential equations with infinite delay where the
history function is modified by an evolution family. Using
sophisticated tools from semigroup theory such as evolution
semigroups, extrapolation spaces, or the critical spectrum, we
prove well-posedness and characterize the asymptotic behavior of
the solution semigroup by an operator-valued characteristic
equation.

DCDS-S

Motivated by the recent Green--Tao theorem on arithmetic progressions in the primes,
we discuss some of the basic operator theoretic techniques used in its proof.
In particular, we obtain a complete proof of Szemerédi's theorem for arithmetic progressions of length $3$ (Roth's theorem) and the Furstenberg--Sárközy theorem.

NHM

We study a transport equation in a network and control it in a
single vertex. We describe all possible reachable states and prove a
criterion of Kalman type for those vertices in which the problem is
maximally controllable. The results are then applied to concrete
networks to show the complexity of the problem.

DCDS

We use semigroup techniques to describe the asymptotic behavior of contractive, periodic evolution families on Hilbert spaces. In particular, we show that such evolution families converge almost weakly to a Floquet representation with discrete spectrum.

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