The amplitudes of nonlinear oscillations

Authors

M. R.S. Kulenović, University of Rhode Island
N. Moussa, American University in Cairo

Document Type

Article

Date of Original Version

5-1-2005

Abstract

Consider the nonlinear, nonautonomous differential equationy″(t)+p(t) f(y(t))=0,t0foru≠0, and∫0±∞f(u) du=∞. We obtain some results about the asymptotic behavior of the amplitudes of all oscillatory solutions of this equation. Combining this result with some known oscillation results, we obtain the global results for all solutions of our equation. © 2004 Elsevier Ltd. All rights reserved.

Publication Title, e.g., Journal

Applied Mathematics Letters

Volume

18

Issue

5

Citation/Publisher Attribution

Kulenović, M. R., and N. Moussa. "The amplitudes of nonlinear oscillations." Applied Mathematics Letters 18, 5 (2005): 505-511. doi: 10.1016/j.aml.2004.09.009.