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In this paper we prove Morse index theorems for a big class of constrained variational problems on graphs. Such theorems are useful in various physical and geometric applications. Our formulas… Click to show full abstract
In this paper we prove Morse index theorems for a big class of constrained variational problems on graphs. Such theorems are useful in various physical and geometric applications. Our formulas compute the difference of Morse indices of two Hessians related to two different graphs or two different sets of boundary conditions. Some applications such as the iteration formulas and lower bounds for the index are proved.
Keywords:
parametrized optimal;
index;
graph parametrized;
theorems graph;
index theorems;
optimal control
Journal Title: Nonlinearity
Year Published: 2022
Link to full text (if available)
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Journal Title: Nonlinearity
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!