Multi-dimensional almost automorphic type functions and applications
In this paper, we introduce and analyze several new classes of multi-dimensional almost
automorphic functions which generalize the classical one of Bochner. We develop the basic …
automorphic functions which generalize the classical one of Bochner. We develop the basic …
Multi-dimensional almost periodic type functions and applications
In this paper, we analyze multi-dimensional $({\mathrm R} _ {X},{\mathcal B}) $-almost
periodic type functions and multi-dimensional Bohr ${\mathcal B} $-almost periodic type …
periodic type functions and multi-dimensional Bohr ${\mathcal B} $-almost periodic type …
Asymptotically almost automorphy for impulsive integrodifferential evolution equations with infinite time delay via Mönch fixed point
This research investigates the existence of piecewise asymptotically almost automorphic
mild solutions for integrodifferential equations with infinite delay. The existence results are …
mild solutions for integrodifferential equations with infinite delay. The existence results are …
Almost Automorphic Solutions to Nonlinear Difference Equations
M Kostić, HC Koyuncuoğlu, VE Fedorov - Mathematics, 2023 - mdpi.com
In the present work, we concentrate on a certain class of nonlinear difference equations and
propose sufficient conditions for the existence of their almost automorphic solutions. In our …
propose sufficient conditions for the existence of their almost automorphic solutions. In our …
Vector valued piecewise continuous almost automorphic functions and some consequences
A Chávez, LQ Huatangari - Journal of Mathematical Analysis and …, 2025 - Elsevier
In the present work, for X a Banach space, the notion of piecewise continuous Z-almost
automorphic functions with values in finite dimensional spaces is extended to piecewise …
automorphic functions with values in finite dimensional spaces is extended to piecewise …
Stepanov pseudo‐almost periodic functions and applications
K Khalil, M Kostić, M Pinto - Mathematical Methods in the …, 2021 - Wiley Online Library
In this work, we present basic results and applications of Stepanov pseudo‐almost periodic
functions with measure. Using only the continuity assumption, we prove a new composition …
functions with measure. Using only the continuity assumption, we prove a new composition …
Compact almost automorphic dynamics of non-autonomous differential equations with exponential dichotomy and applications to biological models with delay
A Chávez, N Aragonés, M Pinto, U Zavaleta - arXiv preprint arXiv …, 2024 - arxiv.org
In the present work, we prove that, if $ A (\cdot) $ is a compact almost automorphic matrix
and the system $$ x'(t)= A (t) x (t)\,, $$ possesses an exponential dichotomy with Green …
and the system $$ x'(t)= A (t) x (t)\,, $$ possesses an exponential dichotomy with Green …