Open AccessLagrangian Stability of a Class of Second-Order Periodic Systems
Author(s) -
Shunjun Jiang,
Fang Fang
Publication year - 2011
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2011/106214
Subject(s) - algorithm , computer science
We study the following second-order periodic system: x′′+V′(x)+p(t)=0 where V(x) has a singularity and p(t)=p(t+1). Under some assumptions on the V(x) and p(t), by Moser's twist theorem we obtain the existence of quasiperiodic solutions and boundedness of all the solutions
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom