I have just completed my first year study and know elementary analysis and a little bit functional analysis. I found that most of the ODE books just focus on calculation but no substantial explanation of theorems.Can someone suggest some ODE books which are from a more theoretical point of view?
ODE book recommendation
7
$\begingroup$
reference-request
ordinary-differential-equations
-
0Possible duplicate: http://math.stackexchange.com/questions/34233/ode-introduction-textbook – 2012-07-27
-
0Its not an ODE book, and it be heavy going at an early stage, but I like the (brief) treatment of ODEs in Kantorovich & Akilov's "Functional Analysis". In particular, it provides a fixed-point scheme (as in Picard) that is useful for showing continuity of solutions with respect to parameters. – 2012-07-27