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Oscillation of perturbed nonlinear dynamic equations on time scales<FNR></FNR><FN>Supported by the NNSF of China and the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of the Ministry of Education of China. </FN>
- Source :
-
ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik . Oct2005, Vol. 85 Issue 10, p755-760. 6p. - Publication Year :
- 2005
-
Abstract
- In this paper we consider the oscillatory and asymptotic behavior of bounded solutions of second-order nonlinear perturbed dynamic equation (α(t)(xΔ(t))r)Δ+ F(t,xσ (t)) = G(t, xσ (t), xΔ (t)), t ∈&Topf; , (0.1) where r = k/l with k even and l odd positive integer. Some new sufficient conditions are obtained for all bounded solutions of (0.1) to be oscillatory. Several examples that dwell upon the importance of our results are also included. In particular, our criteria extend some earlier results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00442267
- Volume :
- 85
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
- Publication Type :
- Academic Journal
- Accession number :
- 17534660
- Full Text :
- https://doi.org/10.1002/zamm.200310212