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Connecting Orbits for Some Classes of Almost Periodic Lagrangian Systems

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
2
Publisher
Elsevier
Pages
453-468
Publication identifier
Metadata
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Author(s)
Montecchiari, Piero
Bertotti, Maria Letizia
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