From 17fa694eeaa8ed61966a2487be43a2b51e930f85 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Petr=20Veli=C4=8Dka?= Date: Mon, 3 Mar 2025 13:27:40 +0100 Subject: [PATCH] formatovani vet --- lokalni-existence.tex | 4 ++-- skripta.pdf | Bin 81438 -> 78630 bytes 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/lokalni-existence.tex b/lokalni-existence.tex index ab991ab..630e653 100644 --- a/lokalni-existence.tex +++ b/lokalni-existence.tex @@ -47,14 +47,14 @@ Teď si zadefinujeme několik pojmů, které charakterizují množiny funkcí, k \end{enumerate} \end{definition} -\begin{theorem}{\textbf{(Arzela-Ascoli)}} +\begin{theorem}[Arzela-Ascoli] \label{thm-arzela} Nechť funkce $x_n(t)$ jsou stejně omezené a stejně spojité na $[0, T]$. Potom z nich lze vybrat stejnoměrně konvergující posloupnost. \textit{(bez důkazu)} \end{theorem} Následující věta nám říká, že na nějakém okolí libovolného bodu existuje řešení zkoumané diferenciální rovnice. -\begin{theorem}{\textbf{(Peano)}} +\begin{theorem}[Peano] \label{thm-peano} Nechť $(x_0, t_0) \in \Omega$. Pak existuje $\delta > 0$ a funkce $x(t): (t_0 - \delta, t_0 + \delta) \rightarrow \mathbb{R}^n$, která je řešením \eqref{eq-ode} a splňuje $x(t_0) = x_0$. \end{theorem} diff --git a/skripta.pdf b/skripta.pdf index d01c532d63132eb95f21e2ac946340a20289caf3..a9b0d5b959710ec09695278196920129bc840702 100644 GIT binary patch delta 26470 zcmZ6yQ*Omho_!InT( z^2o%O=e_{+K|v6nHjXR=5BDz6%1jVxFr&|xvVHXiuFJISt+kD=g&`EXg@q|I?27|+ zBHHV(?ggHq?**Pff-^?Q*Pg8{=U_x%Nl z(rI|_dh4@gMXF7^sIuqvdW+~Us{b?Ylsl>a5y?YW?>A&o+&5e3cZd4<-k#YE_(P4_ zL(;}0&8tt!relV57Z@$HJGiDz@?)U5^-#$QgeHk$6CLH+Zr>u%nx zoza69*4#0u=+te`CkBB1^YHxAREAHD^$ldEf8hM9-jmraY__D-QSt>Vr0 zHi^&ev`YfxN+DSpU}GO>8SVa{o>yr%ET%PnIO9d8SdeONS6MeTq4@s5pFwHe>H^4N z!pGdpp|9C5_S=;TFlqBFAu?Jpnh@>`iFst>b5;Nyu4BLn+0LN1x>!QlmEb|}@DD9G zDZlabM!Y*)QLfNOELM*#_`N`^P+T$V$$a0ZDm_o6x}{SZ)#J z#Tj?u{RlSFhFzuX^7tM`AScHC7=s$COxMqP5)3iAo=6jgI;=Z>v@|p~(fAq>@^~8T zaRRdZ6j4BAe$_F>l)d9?%sZ=Jqo$`#XVtRA1Rt*e0h@_Vuv?l=^8KKUWKObs3YY2F 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