2011-2012 University Catalog 
  
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2011-2012 University Catalog

MATH 784 - Nonlinear Functional Analysis

Credits: 3 (NR)
Techniques in nonlinear functional analysis with applications. Contraction mapping principle, Frechet and higher derivatives, the implicit function theorem, Lyapunov-Schmidt method, and bifurcation theory. Finite and infinite dimensional degree theory with applications in partial differential equations.

Prerequisite(s): MATH 675 or permission of instructor.

Notes: Different backgrounds may be appropriate, but generally, a student is expected to be an upper level graduate student who has already taken Linear Analysis. Since the applications given in the course are for differential equations, some familiarity with differential equations is extremely useful.

Hours of Lecture or Seminar per week: 3
Hours of Lab or Studio per week: 0