Rabinowitz, P. H. On subharmonic solutions of hamiltonian systems. (English) Zbl 0425.34024 Commun. Pure Appl. Math. 33, 609-633 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 106 Documents MSC: 34A99 General theory for ordinary differential equations Keywords:subharmonic solutions of hamiltonian systems PDFBibTeX XMLCite \textit{P. H. Rabinowitz}, Commun. Pure Appl. Math. 33, 609--633 (1980; Zbl 0425.34024) Full Text: DOI References: [1] Rabinowitz, Comm. Pure Appl. Math. 31 pp 157– (1978) [2] Benci, Inv. Math. 52 pp 241– (1979) [3] Jacobowitz, J. Diff. Eq. 20 pp 37– (1976) [4] Hartman, J. Diff. Eq. 26 pp 37– (1977) [5] and , Nonlinear oscillations and boundary value problems for Hamiltonian systems, preprint. [6] Birkhoff, Mem. Pont. Acad. Sci. Novi Lyncaei (3) 1 pp 85– (1935) [7] and , Lectures on Celestial Mechanics, Springer-Verlag, Heidelberg, 1971. [8] Moser, Math. Ann. 126 pp 325– (1953) [9] Conley, Comm. Pure Appl. Math. 16 pp 449– (1963) [10] Birkhoff, Comp. Rend. Acad. Sci. 192 pp 196– (1931) [11] Birkhoff, Ann. Mat. Pura Appl. 12 pp 117– (1933) · Zbl 0007.37104 [12] Lewis, Atti. Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 19 pp 234– (1934) [13] Arnold, Comp. Rend. Acad. Sci. 261 pp 3719– (1965) [14] Harris, J. Diff. Eq. 4 pp 131– (1968) [15] Proof of a generalized form of a fixed point theorem due to G. D. Birkhoff, in Geometry and Topology, Springer Lecture Notes in Math., No. 597, Proceedings of the Selcool held at IMPA, Rio de Janeiro, 1976, Springer, N.Y., 1977, pp. 464–494. [16] A variational method for finding periodic solutions of differential equations in Nonlinear Evolution Equations, ed., pp. 225–251, Academic Press, New York, 1978. [17] Lax, Comm. Pure Appl. Math 8 pp 615– (1955) [18] Nehari, Acta. Math. 105 pp 141– (1961) [19] Wolkowisky, J. Diff. Eq. 11 pp 385– (1972) 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.