Symmetric Systems of Implicit Functional Differential Equations
Zhichao Li
Broschiertes Buch

Symmetric Systems of Implicit Functional Differential Equations

Existence of Solutions and Bifurcation Results

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Many mathematical models of natural phenomena admit symmetries that are related to some physical or geometric regularities. In this way, we arrive at the following paradigmatic question: what is the link between symmetries of a differential system and symmetries of its solutions? In this book, we introduce an abstract functional analysis framework and equivariant degree methodology for studying implicit boundary value/Hopf bifurcation problems in the presence of group symmetries via the transition to the equivariant multivalued differential inclusions. The methodology is applied to three types...