We apply Max Müller's Theorem to second order equations u'' = f(t,u,u') to obtain solutions between given functions v,w.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-1-7, author = {Gerd Herzog and Roland Lemmert}, title = {Enclosing solutions of second order equations}, journal = {Annales Polonici Mathematici}, volume = {85}, year = {2005}, pages = {91-98}, zbl = {1097.34007}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-1-7} }
Gerd Herzog; Roland Lemmert. Enclosing solutions of second order equations. Annales Polonici Mathematici, Tome 85 (2005) pp. 91-98. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-1-7/