Connecting Orbits for Some Classes of Almost Periodic Lagrangian Systems

Montecchiari, Piero; Bertotti, Maria Letizia

Montecchiari, Piero; Bertotti, Maria Letizia (1998), Connecting Orbits for Some Classes of Almost Periodic Lagrangian Systems, Journal of Differential Equations, 145, 2, p. 453-468. http://dx.doi.org/10.1006/jdeq.1998.3415

Type

Article accepté pour publication ou publié

Date

1998

Journal name

Journal of Differential Equations

Volume

145

Number

Publisher

Elsevier

Pages

453-468

Abstract (EN)

The existence is proved, by means of variational arguments, of infinitely many heteroclinic solutions connecting possibly degenerate equilibria for a class of almost periodic Lagrangian system. An analogous multiplicity result is then established for homoclinic solutions of systems with an almost periodic singular potential.

Subjects / Keywords

Lagrangian systems; heteroclinic and homoclinic orbits; almost periodicity; variational arguments