On Second-Order Differential Equations with Nonsmooth Second Member

In an abstract framework, we consider the following initial value problem: u′′ + μAu + F(u)u = f  in  (0,T), u(0)=u0,u′(0)=u1, where μ is a positive function and f a nonsmooth function. Given u0, u1, and f we determine Fu in order to have a solution u of the previous equation. We analyze two cases o...

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Veröffentlicht in:	ISRN applied mathematics 2014-01, Vol.2014, p.1-13
Hauptverfasser:	Miranda, M. Milla, Lourêdo, A. T., Medeiros, L. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Differential equations Functions (mathematics) Hilbert space Hypotheses Initial value problems Linear operators Mathematical analysis Theorems
Online-Zugang:	Volltext
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