Quasi—Nonlinear Functional Evolutions

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

Chapter Chapter 4 in Nonlinear Functional Evolutions in Banach Spaces, 2003, pp 249-340 from Springer

Abstract: 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.

Keywords: Strong Solution; Lipschitz Constant; Maximal Monotone; Integral Solution; Real Banach Space (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-94-017-0365-9_4

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