The lower and upper solutions method for boundary value problems
C De Coster, P Habets - Handbook of Differential Equations: Ordinary …, 2004 - Elsevier
The premises of the lower and upper solutions method can be traced back to Picard. In 1890
for partial differential equations [79] and in 1893 for ordinary differential equations [80], he
introduced monotone iterations from a lower solution. This is the starting point of the use of
lower and upper solutions in connection with monotone methods.Independently, some of the
basic ideas of the method appeared in the study of first order Cauchy problems made in
1915 by Perron [78] and in its extension to systems worked by Müller [72] in 1926. These …
for partial differential equations [79] and in 1893 for ordinary differential equations [80], he
introduced monotone iterations from a lower solution. This is the starting point of the use of
lower and upper solutions in connection with monotone methods.Independently, some of the
basic ideas of the method appeared in the study of first order Cauchy problems made in
1915 by Perron [78] and in its extension to systems worked by Müller [72] in 1926. These …
以上显示的是最相近的搜索结果。 查看全部搜索结果