By
C. De Coster, Université du Littoral-Côte d'Opale, France
P. Habets, Université Catholique de Louvain, Belgium
Description
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. The second half of the book concerns applications. This part exemplifies the method and provides
the reader with a fairly large introduction to the problematic of boundary value problems. Although the book concerns mainly ordinary
differential equations, some attention is given to other settings such as partial differential equations or functional differential equations.
A detailed history of the problem is described in the introduction.
Included in series
Mathematics in Science and Engineering
Audience:
Any mathematicians and PHD students.
