Autonomous Nonlinear Functional Evolutions

Ki Sik Ha
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Ki Sik Ha: Pusan National University, Department of Mathematics

Chapter Chapter 2 in Nonlinear Functional Evolutions in Banach Spaces, 2003, pp 31-126 from Springer

Abstract: Abstract The aim of this chapter is to have results concerning autonomous nonlinear functional evolutions associated with accretive operators in real Banach spaces. In Section 2.1 and Section 2.2 we consider the global existence and uniqueness of solutions with definitions. Section 2.3 and Section 2.4 deal with compactness methods and L P -space methods for existence of solutions, respectively. Section 2.5 is devoted to general methods for existence of solutions. Section 2.6 contains the stability results of solutions. In Section 2.7 examples and applications are treated. Finally, comments and notes for references are given in Section 2.8.

Keywords: Strong Solution; Integral Solution; Real Banach Space; Limit Solution; Accretive Operator (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-0365-9_2

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DOI: 10.1007/978-94-017-0365-9_2

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