\relax 
\providecommand\hyper@newdestlabel[2]{}
\@writefile{toc}{\contentsline {part}{II\hspace  {1em}Advanced}{25}{part.2}\protected@file@percent }
\@writefile{toc}{\contentsline {chapter}{\numberline {5}Existence and uniqueness of differential equations}{27}{chapter.5}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{toc}{\contentsline {section}{\numberline {5.1}Peano existence theorem}{27}{section.5.1}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {5.2}Carathéodory existence theorem}{28}{section.5.2}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {5.3}Picard–Lindelöf theorem}{28}{section.5.3}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {5.3.1}Picard iteration}{28}{subsection.5.3.1}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {5.4}Cauchy-Kovalevskaya theorem}{28}{section.5.4}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {5.5}Okamura's theorem}{29}{section.5.5}\protected@file@percent }
\@writefile{toc}{\contentsline {chapter}{\numberline {6}Sturm-Liouville theory}{31}{chapter.6}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{toc}{\contentsline {chapter}{\numberline {7}Fuchsian theory}{33}{chapter.7}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{toc}{\contentsline {chapter}{\numberline {8}Lie theory}{35}{chapter.8}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@setckpt{2}{
\setcounter{page}{36}
\setcounter{equation}{0}
\setcounter{enumi}{0}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{0}
\setcounter{footnote}{0}
\setcounter{mpfootnote}{0}
\setcounter{part}{2}
\setcounter{chapter}{8}
\setcounter{section}{0}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{0}
\setcounter{table}{0}
\setcounter{parentequation}{0}
\setcounter{float@type}{8}
\setcounter{algorithm}{0}
\setcounter{ALC@unique}{0}
\setcounter{ALC@line}{0}
\setcounter{ALC@rem}{0}
\setcounter{ALC@depth}{0}
\setcounter{Item}{0}
\setcounter{Hfootnote}{0}
\setcounter{bookmark@seq@number}{42}
\setcounter{proposition}{0}
\setcounter{lemma}{0}
\setcounter{theorem}{0}
\setcounter{definition}{0}
\setcounter{example}{0}
\setcounter{corollary}{0}
\setcounter{section@level}{1}
}
