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Focusing on boundary value and periodic problems for nonlinear equations, this book explores the application of equivariant degree theory to analyze multiple solutions and their symmetric properties. It establishes a functional analysis framework tailored for symmetric generalizations of boundary value problems, addressing challenges posed by large symmetry groups and high dimensions. The text describes various second order boundary value problems with dihedral symmetries and demonstrates how the developed theory can be effectively applied to implicit second order symmetric differential equations.
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Equivariant Degree with Symmetric Nonlinear Boundary Value Problems, My Linh Nguyen
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- 2014
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