Manuel Pinto

University of Chile — Chile

Mathematics · Physical Sciences

25h-index2.2kcitations189works1.12yr avg
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Research Topics

Nonlinear Differential Equations Analysis(114), Differential Equations and Numerical Methods(70), Numerical methods for differential equations(45), Stability and Controllability of Differential Equations(39), Mathematical and Theoretical Epidemiology and Ecology Models(29)

Publications189 total

Compact almost automorphic dynamics of linear non-autonomous differential equationswith exponential dichotomy and of delayed biological models
Electronic Journal of Differential Equations·2025Open Access
Poincaré-Perron problem for high order differential equations in the class of almost periodic type functions
Journal of Differential Equations·2024· 2 cited
On a Poincaré-Perron problem for high order differential equations
Bulletin of the Belgian Mathematical Society - Simon Stevin·2024· 1 cited
Poincaré-Perron problem for high order differential equations in the class of almost periodic type functions
arXiv (Cornell University)·2024Open Access
Topological equivalence of nonhyperbolic nonautonomous systems
Journal of Mathematical Analysis and Applications·2024· 1 cited
Compact almost automorphic dynamics of non-autonomous differential equations with exponential dichotomy and applications to biological models with delay
arXiv (Cornell University)·2024Open Access
New class of perturbations for nonuniform exponential dichotomy roughness
Journal of Differential Equations·2024· 2 cited
Body size modulates demographic patterns of top predators and their native and invasive prey: A biomathematical approach
Ecología Austral·2024· 1 citedOpen Access
A variation of parameters formula for nonautonomous linear impulsive differential equations with piecewise constant arguments of generalized type
arXiv (Cornell University)·2024Open Access
Existence and Roughness of Nonuniform Exponential Dichotomies on Time Scales
Qualitative Theory of Dynamical Systems·2024· 2 cited
Compact Almost Automorphic Solutions to Poisson’s and Heat Equations
Bulletin of the Malaysian Mathematical Sciences Society·2024· 2 cited
A variation of parameters formula for nonautonomous linear impulsive differential equations with piecewise constant arguments of generalized type
Electronic journal of qualitative theory of differential equations·2024· 3 citedOpen Access
Uniform approximation of a class of impulsive delayed Hopfield neural networks on the half-line
Electronic journal of qualitative theory of differential equations·2024· 1 citedOpen Access
Poincar\'E-Perron Problem for High Order Differential Equations in the Class of Almost Periodic Type Functions
SSRN Electronic Journal·2024Open Access
Preface to the Special Issue “Abstract Fractional Integro-Differential Equations and Fixed Point Theory with Applications”
Mathematics·2023Open Access
How to draw the graphs of the Exponential, Logistic, and Gaussian functions with pencil and ruler in an accurate way
Proyecciones (Antofagasta)·2023· 4 citedOpen Access
Weighted pseudo almost automorphic solution for abstract dynamic equations under translation and non-translation time scales with shift operators and unbounded graininess
Advances in Operator Theory·2023· 2 cited
Almost periodic type functions of several variables and applications
Journal of Mathematical Analysis and Applications·2023· 7 cited
Exponential Trichotomy and Global Linearization of Non-Autonomous Differential Equations
SSRN Electronic Journal·2023· 1 citedOpen Access
Stepanov multi-dimensional almost periodic functions and applications
Filomat·2023· 4 citedOpen Access
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Frequent Co-authors

Sergei Trofımchuk(7), Claudio Cuevas(4), Kuo‐Shou Chiu(4), Gonzalo Robledo(4), Raúl Naulin(3), V. І. Тkachenko(3), Edgardo Alvarez(3), Samuel Castillo(3), Rigoberto Medina(3), Daniel Sepúlveda(3), Eduardo Liz(2), Elena Trofimchuk(2), Julio López Fenner(2), Fernando Córdova‐Lepe(2), Eduardo González‐Olivares(2), Syed Abbas(2), R. Naulin(1), Jyh‐Cheng Jeng(1), Adrián Gómez(1), Robert Hakl(1)