Glasnik Matematicki, Vol. 38, No.2 (2003), 285-298.
PERIODIC SOLUTIONS OF A FIRST ORDER
DIFFERENTIAL EQUATION
Lavoslav Čaklović
Department of Mathematics, University of Zagreb, P.O. Box 335,
10002 Zagreb, Croatia
e-mail: caklovic@math.hr
Abstract. The first order dynamical system
z' = F(t,z) is
considered, where F is T-periodic in time and sub-linear
at infinity. Existence of T-periodic solution is proved, using
degree theory, and applications to non-convex Hamiltonian systems
is given as well.
2000 Mathematics Subject Classification.
34C25, 46N20, 47H15, 55M25, 58C30, 58F22.
Key words and phrases. Differential equations, periodic solution, degree,
Hamiltonian system.
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