He works in the fields of partial differential equations and nonlinear analysis.
The research included nonlinear analysis, real-time software implementation development, and extensive hardware construction.
He is known for his contributions to continuum mechanics, nonlinear analysis, and partial differential equations.
The weak nonlinear analysis will not provide substantial insights into the nonlinear problem of pattern selection.
"QC is just past Nonlinear Analysis, around the corner to your right," the clerk said.
The former is the more common definition in areas of nonlinear analysis where the function spaces involved are not necessarily Banach spaces.
Some simply defined recurrence relations can have very complex (chaotic) behaviours, and they are a part of the field of mathematics known as nonlinear analysis.
Nonlinear Analysis 47(8) (2001), 5029-5040 online here.
Phelps has also contributed to nonlinear analysis, in particular writing notes and a monograph on differentiability and Banach-space theory.
Methods in Nonlinear Analysis 9 (1997), pp.