Ward, James R. jun. The existence of periodic solutions for nonlinearly perturbed conservative systems. (English) Zbl 0434.34031 Nonlinear Anal., Theory Methods Appl. 3, 697-705 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 7 Documents MSC: 34C25 Periodic solutions to ordinary differential equations 35B10 Periodic solutions to PDEs 47H10 Fixed-point theorems 34A34 Nonlinear ordinary differential equations and systems Keywords:conservative systems; Leray-Schauder degree PDFBibTeX XMLCite \textit{J. R. Ward jun.}, Nonlinear Anal., Theory Methods Appl. 3, 697--705 (1979; Zbl 0434.34031) Full Text: DOI References: [1] Ahmad, S., An existence theorem for periodically perturbed conservative systems, Mich. math. J., 20, 385-392 (1973) · Zbl 0294.34029 [2] Lazer, A. C., Application of a lemma on bilinear forms to a problem in nonlinear oscillations, Proc. Am. math. Soc., 33, 89-94 (1972) · Zbl 0257.34041 [3] Loud, W. S., Periodic solutions of nonlinear differential equations of Duffing type, (Proc. U.S.-Japan Seminar on Differential and functional Equations (1967), Benjamin: Benjamin New York) · Zbl 0162.12302 [4] Leach, D. E., On Poincare’s perturbation theorem and a theorem of W.S. Loud, J. diff. Eqns, 7, 34-53 (1970) · Zbl 0186.15501 [5] Lazer, A. C.; Sánchez, D. A., On periodically perturbed conservative systems, Mich. Math. J., 16, 193-200 (1969) · Zbl 0187.34501 [6] Ward, J. R., Periodic solutions of perturbed conservative systems, Proc. Am. Math. Soc., 72, 281-285 (1978) · Zbl 0418.34045 [7] BatesJ. diff. Eqns; BatesJ. diff. Eqns [8] Coddington, E. A.; Levinson, N., Theory of Ordinary Differential Equations (1955), McGraw-Hill: McGraw-Hill New York · Zbl 0042.32602 [9] Lloyd, N. G., Degree Theory (1978), Cambridge University Press: Cambridge University Press Cambridge · Zbl 0367.47001 [10] Chow, S.-N.; Lasota, A., On boundary value problems for ordinary differential equations, J. diff. Eqns, 14, 326-337 (1973) · Zbl 0285.34009 [11] Reid, W. T., Some elementary properties of proper values and proper vectors of matrix functions, SIAM J. appl. Math., 18, 259-266 (1970) · Zbl 0192.37201 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.