A Note on Nonlinear Oscillations at Resonance

Authors
Omari, Pierpaolo Zanolin, Fabio
Citation
Omari, Pierpaolo et Zanolin, Fabio, A Note on Nonlinear Oscillations at Resonance, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 3(4), 1987, pp. 351-361
Journal title
Acta Mathematica Sinica, New Series Chinese Journal of Mathematics → ACNP
ISSN journal
10009574
Volume
3
Issue
4
Year of publication
1987
Pages
351 - 361
Database
ACNP
SICI code
Abstract
Existence of 2.-periodic solutions to the equation x + g(x)=p(t) is proved, under sharp nonresonance conditions on the interaction of g(x)/x with two consecutive eigenvalues m² and (m²+1): touch with the eigenvalues is allowed.