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Autonomous Nonlinear Functional Evolutions

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Nonlinear Functional Evolutions in Banach Spaces

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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.

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  1. Department of Mathematics, Pusan National University, Pusan, Republic of Korea

    Ki Sik Ha

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Ha, K.S. (2003). Autonomous Nonlinear Functional Evolutions. In: Nonlinear Functional Evolutions in Banach Spaces. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0365-9_2

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  • DOI: https://doi.org/10.1007/978-94-017-0365-9_2

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