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( ω , c ) \\(( ,c)\\) -Pseudo periodic functions, first order Cauchy problem and Lasota–Wazewska model with ergodic and unbounded oscillating production of red cells
by
Pinto, Manuel
, Alvarez, Edgardo
, Castillo, Samuel
in
Banach spaces
/ Cauchy problems
/ Convolution
/ Periodic functions
2019
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( ω , c ) \\(( ,c)\\) -Pseudo periodic functions, first order Cauchy problem and Lasota–Wazewska model with ergodic and unbounded oscillating production of red cells
by
Pinto, Manuel
, Alvarez, Edgardo
, Castillo, Samuel
in
Banach spaces
/ Cauchy problems
/ Convolution
/ Periodic functions
2019
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( ω , c ) \\(( ,c)\\) -Pseudo periodic functions, first order Cauchy problem and Lasota–Wazewska model with ergodic and unbounded oscillating production of red cells
Journal Article
( ω , c ) \\(( ,c)\\) -Pseudo periodic functions, first order Cauchy problem and Lasota–Wazewska model with ergodic and unbounded oscillating production of red cells
2019
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Overview
In this paper we study a new class of functions, which we call (ω,c)\\(( ,c)\\)-pseudo periodic functions. This collection includes pseudo periodic, pseudo anti-periodic, pseudo Bloch-periodic, and unbounded functions. We prove that the set conformed by these functions is a Banach space with a suitable norm. Furthermore, we show several properties of this class of functions as the convolution invariance. We present some examples and a composition result. As an application, we prove the existence and uniqueness of (ω,c)\\(( ,c)\\)-pseudo periodic mild solutions to the first order abstract Cauchy problem on the real line. Also, we establish some sufficient conditions for the existence of positive (ω,c)\\(( ,c)\\)-pseudo periodic solutions to the Lasota–Wazewska equation with unbounded oscillating production of red cells.
Publisher
Hindawi Limited
Subject
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