Results 41 to 50 of about 78 (78)

With Andrzej Lasota There and Back Again

Annales Mathematicae Silesianae
The paper below is a written version of the 17th Andrzej Lasota Lecture presented on January 12th, 2024 in Katowice. During the lecture we tried to show the impact of Andrzej Lasota’s results on the author’s research concerning various fields of ...
Rudnicki Ryszard
doaj   +1 more source

On the operator equation A X − X B = C with unbounded operators A, B, and C

Abstract and Applied Analysis, Volume 6, Issue 6, Page 317-328, 2001., 2001
We find the criteria for the solvability of the operator equation A X − X B = C, where A, B, and C are unbounded operators, and use the result to show existence and regularity of solutions of nonhomogeneous Cauchy problems.
Nguyen Thanh Lan
wiley   +1 more source

B‐bounded semigroups and implicit evolution equations

Abstract and Applied Analysis, Volume 5, Issue 1, Page 13-32, 2000., 2000
The aim of this paper is to show an application of the recently introduced B‐bounded semigroups in the theory of implicit and degenerate evolution equations. The most interesting feature of this approach is its applicability to problems with noncloseable operators.
J. Banasiak
wiley   +1 more source

Fractional powers approach of operators for abstract evolution equations of third order in time [PDF]

, 2020
In this work we study third order linear evolution equations in time, in the sense of theory of strongly continuous one-parameter semigroups, and approximations them of fractional order via theory of the fractional powers of closed and densely de ned ...
Santos, Lucas Araújo
core  

A new characterization of B‐bounded semigroups with application to implicit evolution equations

Abstract and Applied Analysis, Volume 5, Issue 4, Page 227-244, 2000., 2000
We consider the one‐parameter family of linear operators that A. Belleni Morante recently introduced and called B‐bounded semigroups. We first determine all the properties possessed by a couple (A, B) of operators if they generate a B‐bounded semigroup (Y(t))t≥0.
Luisa Arlotti
wiley   +1 more source

On a Class of Problems Related to Financial Mathematics

35Q91; connections with Cox-Ingersoll-Ross equation; Nonautonomous evolution problems; operator semigroups and groups; Primary 47D06; Secondary ...
Goldstein, Gisèle Ruiz, Goldstein, Jerome A., Romanelli, Silvia   +2 more
core   +1 more source

Fractional Powers of Almost Non-Negative Operators [PDF]

, 2005
Mathematics Subject Classification: Primary 47A60, 47D06.In this paper, we extend the theory of complex powers of operators to a class of operators in Banach spaces whose spectrum lies in C \ ]−∞, 0[ and whose resolvent satisfies an estimate ||(λ + A ...
Martínez, Celso, Redondo, Antonia, Sanz, Miguel   +2 more
core  

Spectral mapping theorems for evolutions semigroups on spaces of almost periodic functions

, 2004
unavailable at this time... Mathematics Subject Classification (2000): 47D06, 34G10, 34C27 Quaestiones Mathematicae 25 (2002), 191 ...
Räbiger, Frank, Hutter, Walter
core  

Overiterated Linear Operator and Asymptotic Behaviour of Semigroups

, 2008
The results provided hereby are related to the asymptotic behaviour of certain strongly continuous semigroups, which may be expressed in terms of iterates of positive linear operators, in the sense of Altomare’s theory. We present some applications to
RASA I., ATTALIENTI, Antonio
core  

Efficient numerical computation of the basic reproduction number for structured populations. [PDF]

J Comput Appl Math, 2021
Breda D, Florian F, Ripoll J, Vermiglio R.   +3 more
europepmc   +1 more source