Computations of the critical groups and the nontrivial solutions for resonant type asymptotically linear Hamiltonian systems.

DOI10.1016/S0362-546X(01)00115-8zbMath1192.37085OpenAlexW2047023842MaRDI QIDQ1599965

Wen Ming Zou

Publication date: 22 July 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00115-8

zbMATH Keywords

Critical groupGalerkin approximationMaslov-type index1-periodic solutionResonant

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (4)

Computations of cohomology groups and nontrivial periodic solutions of Hamiltonian systems ⋮ Nontrivial solutions for resonant cooperative elliptic systems via computations of the critical groups ⋮ Periodic solutions for asymptotically linear Hamiltonian system with resonance both at infinity and origin via computation of critical groups ⋮ Computations of critical groups and periodic solutions for asymptotically linear Hamiltonian systems

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