Yang, Xiaojing Forced oscillation of \(n\)th-order nonlinear differential equations. (English) Zbl 1033.34046 Appl. Math. Comput. 134, No. 2-3, 301-305 (2003). Summary: The oscillation criteria result of R. P. Agarwal and S. R. Grace [ Appl. Math. Lett. 13, 53–57 (2000; Zbl 0958.34050)] is generalized to the following nonlinear equations \[ x^{(n)}(t)+ \sum^{n-1}_{i=1} a_i x^{(i)}(t)- q(t) f(x(t))= e(t),\quad n\in\mathbb{N}, \] where \(f\in C^1(\mathbb{R},\mathbb{R})\) and \(f\) is a strictly monotone increasing function, \(e\in C(\mathbb{R}^+,\mathbb{R})\) and \(a_1,\dots, a_{n-1}\) are real constants. Cited in 9 Documents MSC: 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations Keywords:forced oscillation; \(n\)th-order nonlinear differential equations Citations:Zbl 0958.34050 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Agarwal, R. P.; Grace, S. R., Forced oscillation of \(n\) th-order nonlinear differential equations, Appl. Math. Lett., 13, 53-57 (2000) · Zbl 0958.34050 [2] Hardy, G. H.; Littlewood, J. E.; Polya, G., Inequalities (1988), Cambridge University Press: Cambridge University Press Cambridge · Zbl 0634.26008 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.