Minimal period estimates of periodic solutions for superquadratic Hamiltonian systems

DOI10.1006/JMAA.1999.6527zbMath0936.34032OpenAlexW2086478822MaRDI QIDQ1307264

Tixiang Wang, Soon-Kyu Kim, Guihua Fei

Publication date: 8 May 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6527

zbMATH Keywords

Hamiltonian systemsMaslov-type indexminimal period problemiteration formulaGalerkin approximation procedure

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05)

Related Items (16)

Minimal \(P\)-symmetric period problem of first-order autonomous Hamiltonian systems ⋮ Minimal brake orbits of first-order convex Hamiltonian systems with anisotropic growth ⋮ Minimal periodic solutions of first-order convex Hamiltonian systems with anisotropic growth ⋮ Minimal \(\mathcal{M} \)-symmetric periodic solutions of general Hamiltonian systems and delay differential equations ⋮ Some united existence results of periodic solutions for non-quadratic second order Hamiltonian systems ⋮ Some progress on minimal period problems in reversible semi-positive Hamiltonian systems ⋮ Multiple periodic solutions for \(\Gamma\)-symmetric Newtonian systems ⋮ Minimal \(P\)-cyclic periodic brake orbits in Hamiltonian systems ⋮ Subharmonic solutions and minimal periodic solutions of first-order variant subquadratic Hamiltonian systems ⋮ Subharmonic solutions for a class of non-quadratic second order Hamiltonian systems ⋮ Symmetric period solutions with prescribed minimal period for even autonomous semipositive Hamiltonian systems ⋮ Minimal period problems for brake orbits of nonlinear autonomous reversible semipositive Hamiltonian systems ⋮ Iteration inequalities of the Maslov \(P\)-index theory with applications ⋮ Existence of subharmonic solutions for non-quadratic second-order Hamiltonian systems ⋮ Subharmonic solutions and minimal periodic solutions of first-order Hamiltonian systems with anisotropic growth ⋮ Periodic and subharmonic solutions for a class of the second-order Hamiltonian systems with impulsive effects

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