Carlos Lizama

Dr. Carlos Lizama

Departamento de matematica y ciencia de la computación, Universidad de Santiago de Chile, Santiago, Región Metropolitana, Chile
orcid

Research Focus & Metrics

Academic Career Length

39Years (1988-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

View All Publications
1 December 2008 in Nonlinear Analysis
Verified
Journal Article
Closed access
DADaniela Araya
Daniela Araya
Carlos LizamaCarlos Lizama
Carlos Lizama

1 March 2000 in Journal of Mathematical Analysis and Applications
Verified
Journal Article
Closed access
Carlos LizamaCarlos Lizama
Carlos Lizama

24 May 2017 in Proceedings of the American Mathematical Society
Verified
Journal Article
Open access
PDF file
Carlos LizamaCarlos Lizama
Carlos Lizama
We study the initial value problem ( ∗ ) { C Δ α u ( n ) a m p ; = A u ( n + 1 ) , n ∈ N 0 ; u ( 0 ) a m p ; = u 0 ∈ X , \begin{equation*} \tag {$*$} \left \{\begin {array}{rll} _C\Delta ^{\alpha } u(n) &= Au(n+1), \quad n \in \mathbb {N}_0; \\ u(0) &= u_0 \in X, \end{array}\right . \end{equation*} when A A is a closed linear operator with domain D ( A ) D(A) defined on a Banach space X X . We introduce a method based on the Poisson distribution to show existence and qualitative properties of solutions for the problem ( ∗ ) (*) , using operator-theoretical conditions on A A . We show how several properties for fractional differences, including their own definition, are connected with the continuous case by means of sampling using the Poisson distribution. We prove necessary conditions for stability of solutions, that are only based on the spectral properties of the operator A A in the case of Hilbert spaces.

1 November 2013 in Journal of Functional Analysis
Verified
Journal Article
Closed access
Carlos LizamaCarlos Lizama
Carlos Lizama
JMJaqueline G. Mesquita
Jaqueline G. Mesquita

1 December 2008 in Applied Mathematics Letters
Verified
Journal Article
Closed access
CCClaudio Cuevas
Claudio Cuevas
Carlos LizamaCarlos Lizama
Carlos Lizama