HYBRID DELAY EVOLUTION SYSTEMS WITH NONLINEAR CONSTRAINTS

OCTAVIA-MARIA BOLOJAN; RADU PRECUP

Title	HYBRID DELAY EVOLUTION SYSTEMS WITH NONLINEAR CONSTRAINTS
Publication Type	Journal Article
Year of Publication	2018
Authors	BOLOJAN OCTAVIA-MARIA, PRECUP RADU
Journal	Dynamic Systems and Applications
Volume	27
Issue	4
Start Page	773
Pagination	18
Date Published	09/2018
ISSN	1056-2176
AMS Subject Classification	34K30, 35K90, 47J35
Abstract	Motivated by the importance of reaction-diffusion systems in modeling real processes with memory, we are interested in the existence of mild solutions for systems of abstract delay evolution equations subjected to general nonlinear constraints. Wishing to allow the system nonlinearities to behave independently as much as possible, we use a vector approach based on matrices, vector-valued norms and a vector version of Krasnoselskii’s fixed point theorem for a sum of two operators. The hybrid character of the systems comes from the different nature of the metrical and topological conditions imposed to the component equations. Also, the assumptions are put in connection with the support of the nonlinear constraints. Two examples are given to illustrate the theory.
PDF	https://acadsol.eu/dsa/articles/27/4/6.pdf
DOI	10.12732/dsa.v27i4.6
Refereed Designation	Refereed
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