Lu, Shiping; Ge, Weigao Periodic solutions for a kind of second order differential equation with multiple deviating arguments. (English) Zbl 1037.34065 Appl. Math. Comput. 146, No. 1, 195-209 (2003). Summary: By means of a continuation theorem of coincidence degree theory, some new results on the existence, and nonexistence of periodic solutions for a kind of second-order functional-differential equation with multiple deviating arguments are obtained. Cited in 42 Documents MSC: 34K13 Periodic solutions to functional-differential equations Keywords:Periodic solution; Continuation theorem; Deviating argument PDF BibTeX XML Cite \textit{S. Lu} and \textit{W. Ge}, Appl. Math. Comput. 146, No. 1, 195--209 (2003; Zbl 1037.34065) Full Text: DOI OpenURL References: [1] Fonda, A.; Habets, P., Periodic solutions of asympotically positive homogeneous differential equations, J. diff. eqns., 81, 68-97, (1989) · Zbl 0692.34041 [2] Gossez, J.P.; Omari, P., Periodic solutions of a second order ordinary differential equation: a necessary and sufficient condition for nonresonance, J. diff. eqns., 94, 67-82, (1992) · Zbl 0743.34045 [3] Din, T.; Iannacci, R.; Zanolin, F., Existence and multiplicity results for periodic solutions of semilinear Duffing equations, J. diff. eqns., 105, 364-409, (1993) · Zbl 0785.34033 [4] Ge, W., On the existence of harmonic solution of Liénard systems, J. nonlinear anal., TMA, 16, 2, 183-190, (1991) · Zbl 0735.34033 [5] Wang, Z., Periodic solutions of Lie nard differential equations with subquadratic potential conditions, J. math. anal. appl., 256, 127-141, (2001) · Zbl 0980.34038 [6] Huang, X.; Xiang, Z., On the existence of 2π-periodic solutions of Duffing type equation x″(t)+g(x(t−τ))=p(t), Chin. sci. bull., 39, 1, 201-203, (1994) [7] Layton, W., Periodic solutions of a nonlinear delay equations, J. math. anal., 77, 443-460, (1980) [8] Ma, S.W.; Wang, Z.C.; Yu, J.S., Coincidence degree and periodic solutions of Duffing equations, Nonlinear anal., TMA, 34, 443-460, (1998) · Zbl 0931.34048 [9] Ma, S.W.; Wang, Z.C.; Yu, J.S., An abstract theorem at resonance and its applications, Diff. eqns., 145, 274-294, (1998) · Zbl 0940.34056 [10] Lu, S.; Ge, W., On the existence of periodic solutions of second order differential equations with deviating arguments, Acta. math. sinica, 45, 4, 811-818, (2002), (in Chinese) · Zbl 1027.34079 [11] Game, R.E.; Mawhin, J.L., Coincidence degree and nonlinear differential equations, (1977), Springer Berlin 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.