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Nonlinear Functional Evolutions in Banach Spaces pp 249–340Cite as

Quasi—Nonlinear Functional Evolutions

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Abstract

In the previous chapter we have considered non-autonomous nonlinear functional evolutions of the type

$$ \left\{ \begin{gathered} \frac{{dx}} {{dt}}(t) + A(t)x(t) \mathrel\backepsilon G(t,x_t )\;0 \leqslant t \leqslant T \hfill \\ x(t) = \varphi (t),\quad - r \leqslant t \leqslant 0 \hfill \\ \end{gathered} \right.\quad $$

in a real Banach space X. We put A(t, ψ) = A(t) − G(t, ψ) in the above.

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Authors and Affiliations

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

    Ki Sik Ha

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  1. Ki Sik Ha
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© 2003 Springer Science+Business Media Dordrecht

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Ha, K.S. (2003). Quasi—Nonlinear Functional Evolutions. In: Nonlinear Functional Evolutions in Banach Spaces. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0365-9_4

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  • DOI: https://doi.org/10.1007/978-94-017-0365-9_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6204-8

  • Online ISBN: 978-94-017-0365-9

  • eBook Packages: Springer Book Archive

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