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October 13 Math Colloquium

Dan Maroncelli, CofC

Nonlinear boundary value problems at resonance 

The solvability of nonlinear differential equations subject to resonant boundary conditions, that is, problems in which the solution space of a corresponding linear homogenous problem is nontrivial, have become increasingly important in recent years.  We will give an introduction to the ideas of resonant boundary value problems and then discuss the existence of solutions in some special cases.

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