Non-existence and uniqueness results for fourth-order Hamiltonian systems

Authors
Peletier, MA
Citation
Ma. Peletier, Non-existence and uniqueness results for fourth-order Hamiltonian systems, NONLINEARIT, 12(6), 1999, pp. 1555-1570
Citations number
19
Categorie Soggetti
Mathematics
Journal title
NONLINEARITY
ISSN journal
09517715 → ACNP
Volume
12
Issue
6
Year of publication
1999
Pages
1555 - 1570
Database
ISI
SICI code
0951-7715(199911)12:6<1555:NAURFF>2.0.ZU;2-Z
Abstract
We give a classification of all bounded solutions of the equation u'''' + pu " + F'(u) = 0, -infinity < t < infinity, in which F is a general quartic polynomial and p is restricted to various s ubsets of (-infinity, 0]. These results are obtained by combining an a prio ri estimate with geometric arguments in the (u, u ")-plane.