Non—Autonomous Nonlinear Functional Evolutions

Ki Sik Ha
Additional contact information
Ki Sik Ha: Pusan National University, Department of Mathematics

Chapter Chapter 3 in Nonlinear Functional Evolutions in Banach Spaces, 2003, pp 127-247 from Springer

Abstract: Abstract The object of this chapter is to consider non-autonomous nonlinear functional evolutions associated with accretive operators in real Banach spaces. In Section 3.1 we study the existence of solutions by Kato’s methods applied to that of nonlinear evolutions. Section 3.2 deals with evolution operator methods in which the evolution operators are generated by the accretive operators. Section 3.3 investigates monotonicity methods, and Section 3.4 contains methods of lines. Section 3.5 and Section 3.6 are owed to compactness methods and L P -space methods, respectively, whilst Section 3.7 is devoted to examples and applications. Finally, in Section 3.8 comments and notes for references are presented.

Keywords: Strong Solution; Evolution Operator; Integral Solution; Real Banach Space; Nondecreasing Function (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:978-94-017-0365-9_3

Ordering information: This item can be ordered from
http://www.springer.com/9789401703659

DOI: 10.1007/978-94-017-0365-9_3

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 ().