Nonlinear evolutions with Carathéodory forcing

Dieter Bothe ()
Additional contact information
Dieter Bothe: Universität Paderborn, Fachbereich Chemie und Chemietechnik

A chapter in Nonlinear Evolution Equations and Related Topics, 2003, pp 375-394 from Springer

Abstract: Abstract Let A be an m-accretive operator in a real Banach space X and f : J x X → X a function of Carathéodory type, where J = [0,a] ⊂ ℝ. This paper investigates the existence of mild solutions of the evolution system $$ u' + Au \ni f(t,u) on J = [0,a]. $$ satisfying additional time-dependent constraints u(t)∈K(t) on J for a given tube K(·). Main emphasis is on existence results that are valid under minimal assumptions on f, K and X.

Keywords: Primary: 47J35; 35K90; Secondary: 34025; 47H20; Evolution equations; viability; flow invariance (search for similar items in EconPapers)
Date: 2003
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-7924-8_20

Ordering information: This item can be ordered from
http://www.springer.com/9783034879248

DOI: 10.1007/978-3-0348-7924-8_20

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().