Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations

1984/03/01 by Charles Conley, Charles C. Conley, Eduard Zehnder · 18 citations
Mathematics · Computer Science · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering

paper · doi:10.1002/cpa.3160370204

Abstract

Abstract An index theory for flows is presented which extends the classical Morse theory for gradient flows on compact manifolds. The theory is used to prove a Morse‐type existence statement for periodic solutions of a time‐dependent (periodic in time) and asymptotically linear Hamiltonian equation.

Citations

• Solutions of asymptotically linear operator equations via morse theory

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