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Zbl 1108.34034
Kallel, Najeh; Timoumi, Mohsen
Subharmonic solutions of a nonconvex noncoercive Hamiltonian system. (English)
[J] RAIRO, Oper. Res. 38, No. 1, 27-37 (2004). ISSN 0399-0559; ISSN 1290-3868/e

The existence of subharmonic solutions of the Hamiltonian system $$J\dot{x} +u^{*} \triangledown G(t,u(x))=e(t) \tag1$$ is considered, where $u$ is a linear map, $G(t,y)$ is a continuous function, $T$-periodic in the first variable with $T>0$, $e(t)$ is a continuous function and $J$ is the standard symplectic matrix. Several theorems concerning existence of $T$-periodic solutions and $kT$-periodic solutions of system (1) are proved.
[Bojidar Cheshankov (Sofia)]

MSC 2000:: *34C25 Periodic solutions of ODE
37J45 Periodic, homoclinic and heteroclinic orbits, etc.

Keywords: subharmonic solutions; Hamiltonian system

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