The P-Index Theory

Chungen Liu
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Chungen Liu: Guangzhou University, School of Mathematical and Information Science

Chapter Chapter 4 in Index theory in nonlinear analysis, 2019, pp 55-94 from Springer

Abstract: Abstract If the Hamiltonian function H ∈ C 2 ( ℝ × ℝ 2 n , ℝ ) $$H \in C^{2}(\mathbb {R} \times \mathbb {R}^{2n}, \mathbb {R})$$ satisfying H(t + τ, Px) = H(t, x) with P ∈Sp(2n), it is natural to consider the following nonlinear Hamiltonian system with P-boundary condition.

Date: 2019
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DOI: 10.1007/978-981-13-7287-2_4

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