Index Theory for Second Order Linear Hamiltonian Systems with L1 Coefficient Matrix Satisfying Generalized Periodic Boundary Value Conditions

Tingting Hu ()
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Tingting Hu: Nanjing University of Chinese Medicine

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 1, 51-67

Abstract: Abstract In this paper, we will first establish an index theory for second order linear Hamiltonian systems with L1 coefficient matrix satisfying generalized periodic boundary value conditions. And then we will investigate nontrivial solutions for asymptotically linear second-order Hamiltonian systems and obtain some new results.

Keywords: Critical point; second order Hamiltonian system; index theory; solutions (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13226-019-0306-y

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