Vlček, Vladimír Note on existence of periodic solutions to the third-order nonlinear differential equation. (English) Zbl 0754.34038 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 97, Math. 29, 165-195 (1990). The existence criteria for a periodic solution of a rather general nonautonomous third-order nonlinear differential equation are obtained via the Leray-Schauder fixed-point technique. The desired a priori estimates are performed by means of the Wirtinger-type inequalities. Various forms of restrictions imposed on the single terms of the equation under consideration are discussed. Reviewer: J.Andres (Olomouc) Cited in 1 ReviewCited in 2 Documents MSC: 34C25 Periodic solutions to ordinary differential equations Keywords:periodic solution; nonautonomous third-order nonlinear differential equation; Leray-Schauder fixed-point technique; a priori estimates; Wirtinger-type inequalities PDFBibTeX XMLCite \textit{V. Vlček}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 29, 165--195 (1990; Zbl 0754.34038) Full Text: EuDML References: [1] Vlček V.: To existence of the periodic solution of a third-order nonlinear differential equation. Acta Univ. Palack. Olom., F.R.N. 1990, Math. XXIX, Tom 97 · Zbl 0754.34037 [2] Vlček V.: Periodic solutions of a parametric nonlinear third-order differential equation. Acta Univ. Palack. Olom., F.R.N., 1991, Math. XXX · Zbl 0777.34031 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.