Periodic solutions for second order Hamiltonian systems on an arbitrary energy surface

• Autorzy: Chengfu Che , Xiaoping Xue
• Języki publikacji: EN

Abstrakty

EN

Two theorems about the existence of periodic solutions with prescribed energy for second order Hamiltonian systems are obtained. One gives existence for almost all energies under very natural conditions. The other yields existence for all energies under a further condition.

Kategorie tematyczne

• 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel\cprime man) theory, etc.)
• 34C25: Periodic solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 105
• Numer: 1
• Strony: 1-12

Daty

wydano

2012

Twórcy

autor

Chengfu Che

• Department of Mathematics, Harbin Institute of Technology, 150001 Harbin, P.R. China

autor

Xiaoping Xue

• Department of Mathematics, Harbin Institute of Technology, 150001 Harbin, P.R. China

Identyfikatory

DOI

10.4064/ap105-1-1