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2016-2017 University Catalog

George Mason University

2016-2017 University Catalog

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2016-2017 University Catalog

MATH 784 - Nonlinear Functional Analysis

Credits: 3
Not Repeatable for Credit
Offered by Mathematical Sciences

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.

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

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MATH 784 - Nonlinear Functional Analysis