Name
Abstract | ||
|---|---|---|
Some new criteria have been established for the oscillation of higher-order forced nonlinear differential equation of the form L"nx(t)+q(t)F(x(t))=e(t) according to the smart choice of a class of new auxiliary functions. No restriction is imposed on the forcing term e(t) as those assumed in [A.G. Kartsatos, Maintenance of oscillations under the effect of a periodic forcing term, Proc. Amer. Math. Soc. 33 (1972) 377-383; A.G. Kartsatos, Recent results on oscillation of solutions of forced and perturbed nonlinear differential equations of even order, in: Stability of Dynamical Systems: Theory and Applications, Marcel Dekker, New York, 1977, pp. 17-72]. The main results of this paper are different from most known ones in the sense that they are given in the form lim inf"t"-"~[.] |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1016/j.amc.2005.04.065 | Applied Mathematics and Computation |
Keywords | DocType | Volume |
marcel dekker,forced oscillation,higher-order nonlinear differential equation,dynamical systems,youngs inequality,nonlinear differential equation,forced nonlinear equation,new auxiliary function,higher order nonlinear difference,main result,new york,oscillation problem,nonlinear difference equation,form lim inf,a.g. kartsatos,new criterion,form l,oscillation | Journal | 173 |
Issue | ISSN | Citations |
2 | Applied Mathematics and Computation | 4 |
PageRank | References | Authors |
0.96 | 6 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Y. G. Sun | 1 | 11 | 2.40 |
| S. H. Saker | 2 | 44 | 19.32 |