De Coster C., Habets P. Two-Point Boundary Value Problems: Lower and Upper Solutions

Elsevier Science, 2006. — 502 p.This book introduces the method of lower and upper solutions for ordinary differential equations. This method is known to be both easy and powerful to solve second order boundary value problems. Besides an extensive introduction to the method, the first half of the book describes some recent and more involved results on this subject. These concern the combined use of the method with degree theory, with variational methods and positive operators.