P-index theory for linear Hamiltonian systems and multiple solutions for nonlinear Hamiltonian systems
From MaRDI portal
Publication:5488809
DOI10.1088/0951-7715/19/6/004zbMath1190.37069OpenAlexW2033725473MaRDI QIDQ5488809
Publication date: 25 September 2006
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/19/6/004
Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)
Related Items
Minimal \(P\)-symmetric period problem of first-order autonomous Hamiltonian systems, Existence of solutions for subquadratic convex operator equations at resonance and applications to Hamiltonian systems, Minimal \(\mathcal{M} \)-symmetric periodic solutions of general Hamiltonian systems and delay differential equations, Maslov (P, ω)-Index Theory for Symplectic Paths, Subharmonic \(P^{l}\)-solutions of first order Hamiltonian systems, Generalizations of Ekeland-Hofer and Hofer-Zehnder symplectic capacities and applications, The existence of periodic solutions for second-order delay differential systems, Existence of solutions for sub-linear or super-linear operator equations, Iteration inequalities of the Maslov \(P\)-index theory with applications, A note on the relations between the various index theories, Index theory for linear selfadjoint operator equations and nontrivial solutions for asymptotically linear operator equations, Elliptic and non-hyperbolic closed characteristics on compact convex P-cyclic symmetric hypersurfaces in \(\mathbb{R}^{2n} \), Minimal period estimates on \(P\)-symmetric periodic solutions of first-order mild superquadratic Hamiltonian systems, Multiple periodic orbits of asymptotically linear autonomous convex Hamiltonian systems
