Existence and Uniqueness: The Flow Map

David Betounes ()
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David Betounes: University of Southern Mississippi, Mathematics Department

Chapter Chapter 3 in Differential Equations: Theory and Applications, 2001, pp 75-113 from Springer

Abstract: Abstract In this chapter we describe in detail several general results concerning the initial value problem (IVP): % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceaqabeaacKaGaI % zaaaWG4bGbiaiGygaaauaacWaGaIzaaaGH9aqpcGaGaIzaaaWGybGa % iaiGygaaaiikaiacaciMbaaadshacGaGaIzaaaGGSaGaiaiGygaaam % iEaiacaciMbaaacMcaaeaacaWG4bGaaiikaiaadshadaWgaaWcbaGa % aGimaaqabaGccaGGPaGaeyypa0Jaam4yaaaaaa!51B5! $$ \begin{gathered} x' = X(t,x) \hfill \\ x(t_0 ) = c \hfill \\ \end{gathered} $$ .

Keywords: Vector Field; Autonomous System; Uniqueness Theorem; Periodic Point; Flow Line (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-4971-7_3

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DOI: 10.1007/978-1-4757-4971-7_3

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