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Rodrigo Eduardo Ponce Cubillos

Assistant Professor

UNIVERSIDAD DE TALCA

Talca, Chile

Functional Analysis. Evolution equations, operator theory

Profesor de Estado en Matemática, UNIVERSIDAD DE SANTIAGO DE CHILE. Chile, 2006
Doctor en Matemática, UNIVERSIDAD DE SANTIAGO DE CHILE. Chile, 2011
Matemática, UNIVERSIDAD DE SANTIAGO DE CHILE. Chile, 2006

Assistant professor Full Time

UNIVERSIDAD DE TALCA

Talca, Chile

2012 - A la fecha

Assitant Professor Full Time

Universidad de Talca

Talca, Chile

2012 - A la fecha

Phd Student, Aldo Pereira, Universidad de Talca, PhD in Mathematics-2017.
Master Student, Silvia Rueda, Universidad de Talca, Magíster en Matemática, 2017.

Participación en programas de Formación y perfeccionamiento de Profesores de Matemática a nivel de pre y post grado (a partir del año 2014).
Participación en comisiones evaluadoras de Tesis de Magíster en Didáctica de la Matemática, Universidad Católica del Maule (en los años 2016-2017).


Asymptotic behavior and representation of solutions to a Volterra kind of equation with a singular kernel Ponce, Rodrigo Article WOS SEMIGROUP FORUM (2021)
Discrete subdiffusion equations with memory Ponce, Rodrigo Article WOS APPLIED MATHEMATICS AND OPTIMIZATION (2021)
Hölder regularity for abstract semi-linear fractional differential equations in Banach spaces Ponce, Rodrigo; Eduardo Cuesta Article COMPUTERS AND MATHEMATICS WITH APPLICATIONS (2021)
Mild solutions for a multi-term fractional differential equation via resolvent operators Ponce, Rodrigo; Chang, YK Article AIMS JOURNAL - Mathematics (2021)
Well-Posedness of second order differential equations with memory Ponce, Rodrigo Article Accepted Paper, 2021. MATHEMATISCHE NACHRICHTEN (2021)
Asymptotic behavior of mild solutions to fractional Cauchy problems in Banach spaces Article SCOPUS Applied Mathematics Letters (2020)
Mild solutions to integro-differential equations in Banach spaces Article ISI SCOPUS JOURNAL OF DIFFERENTIAL EQUATIONS (2020)
Subordination Principle for fractional diffusion of Sobolev type Ponce, Rodrigo Article WOS FRACTIONAL CALCULUS AND APPLIED ANALYSIS (2020)
Subordination Principle for subdiffusion equations with memory Ponce, Rodrigo Article WOS JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS (2020)
Time discretization of fractional subdiffusion equations via fractional resolvent operators Ponce, Rodrigo Article Computers and Mathematics with Applications (2020)
Existence and Optimal Controls for Fractional Stochastic Evolution Equations of Sobolev Type Via Fractional Resolvent Operators Chang, YK; Pei, YT Article ISI JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS (2019)
Fractional differential equations of Sobolev type with sectorial operators Rueda, S Article ISI SCOPUS SEMIGROUP FORUM (2019)
Sobolev type time fractional differential equations and optimal controls with the order in (1,2) Ponce, Rodrigo Article https://projecteuclid.org/euclid.die/1565661620 DIFFERENTIAL AND INTEGRAL EQUATIONS (2019)
Discrete-time theorems for global and pointwise dichotomies of cocycles over semiflows Bataran, F; Preda, C Article ISI SCOPUS MONATSHEFTE FUR MATHEMATIK (2018)
Uniform exponential stability and applications to bounded solutions of integro-differential equations in Banach spaces Ponce, Rodrigo Article https://projecteuclid.org/euclid.jiea/1541668117 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS (2018)
Well-posedness, regularity, and asymptotic behavior of continuous and discrete solutions of linear fractional integro-differential equations with time-dependent order Ponce, Rodrigo; Cuesta, Eduardo Article ISI ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS (2018)
APPROXIMATE CONTROLLABILITY FOR FRACTIONAL DIFFERENTIAL EQUATIONS OF SOBOLEV TYPE VIA PROPERTIES ON RESOLVENT OPERATORS Article ISI SCOPUS FRACTIONAL CALCULUS AND APPLIED ANALYSIS (2017)
Maximal L-p-regularity for fractional differential equations on the line Article ISI SCOPUS MATHEMATISCHE NACHRICHTEN (2017)
ON THE WELL-POSEDNESS OF DEGENERATE FRACTIONAL DIFFERENTIAL EQUATIONS IN VECTOR VALUED FUNCTION SPACES Article ISI SCOPUS ISRAEL JOURNAL OF MATHEMATICS (2017)
Existence of Mild Solutions to Nonlocal Fractional Cauchy Problems via Compactness Article SCOPUS Abstract and Applied Analysis (2016)
On the compactness of fractional resolvent operator functions Lizama, C; Pereira, A; Ponce, R Article ISI SCOPUS SEMIGROUP FORUM (2016)
Weighted pseudo almost automorphic solutions to a semilinear fractional differential equation with Stepanov-like weighted pseudo almost automorphic nonlinear term Chang, YK; Zhang, MJ; Ponce, R Article ISI SCOPUS Applied Mathematics and Computation (2015)
Weighted pseudo antiperiodic solutions for fractional integro-differential equations in Banach spaces Alvarez, E; Lizama, C; Ponce, R Article ISI SCOPUS Applied Mathematics and Computation (2015)
A connection between almost periodic functions defined on timescales and Double-struck capital R Lizama, Carlos; Mesquita, Jaqueline G.; Ponce, Rodrigo Article ISI SCOPUS APPLICABLE ANALYSIS (2014)
Holder continuous solutions for Sobolev type differential equations Ponce, R Article ISI MATHEMATISCHE NACHRICHTEN (2014)
On C-alpha-Holder classical solutions for non-autonomous neutral differential equations: The nonlinear case Hernández, Eduardo; O'Regan, Donal; Ponce, Rodrigo Article ISI SCOPUS JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2014)
On the boundedness of generalized Cesaro operators on Sobolev spaces Lizama, Carlos; Miana, Pedro J.; Ponce, Rodrigo; Sánchez-Lajusticia, Luis Article ISI SCOPUS JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2014)
Bounded mild solutions to fractional integro-differential equations in Banach spaces Ponce, R Article ISI SCOPUS Semigroup Forum (2013)
Holder continuous solutions for fractional differential equations and maximal regularity Ponce, R Article ISI SCOPUS Journal of Differential Equations (2013)
MAXIMAL REGULARITY FOR DEGENERATE DIFFERENTIAL EQUATIONS WITH INFINITE DELAY IN PERIODIC VECTOR-VALUED FUNCTION SPACES Lizama, C; Ponce, R Article ISI SCOPUS Proceedings of the Edinburgh Mathematical Society (2013)
Maximal Regularity for Perturbed Integral Equations on the Line Lizama, C; Ponce, R Article ISI SCOPUS Integral Equations and Operator Theory (2012)
Almost automorphic solutions to abstract Volterra equations on the line Lizama, C; Ponce, R Article ISI SCOPUS Nonlinear Analysis, Theory, Methods and Applications (2011)
Bounded solutions to a class of semilinear integro-differential equations in Banach spaces Lizama, C; Ponce, R Article ISI SCOPUS Nonlinear Analysis, Theory, Methods and Applications (2011)
Periodic solutions of degenerate differential equations in vector-valued function spaces Lizama, C; Ponce, R Article ISI SCOPUS Studia Mathematica (2011)


Bloch-Type Periodic Functions: Theory and Their Applications to Evolution Equations Ponce, Rodrigo; Chang, YK; Nguerekata, Gaston BookWhole Libro Aceptado para Publicación (2021)


Solutions of abstract integro-differential equations via Poisson transformation ConferencePaper SCOPUS Mathematical Methods in the Applied Sciences (2019)