Periodic solutions with prescribed minimal period for the second order Hamiltonian systems with even potentials.

Authors :: Yu Ming Xiao
Source :: Acta Mathematica Sinica; May2010, Vol. 26 Issue 5, p825-830, 6p
Publication Year :: 2010
Abstract: In this paper, under a similar but stronger condition than that of Ambrosetti and Rabinowitz we find a T-periodic solution of the autonomous superquadratic second order Hamiltonian system with even potential for any T > 0; moreover, such a solution has T as its minimal period. [ABSTRACT FROM AUTHOR]

Subjects :: PERIODIC functions
DIFFERENTIAL equations
HAMILTONIAN systems
DIFFERENTIABLE dynamical systems
MATHEMATICS

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