Period bound for autonomous Liénard oscillations

Smith, R. A.

doi:10.1090/qam/261095

Author: R. A. Smith
Journal: Quart. Appl. Math. 27 (1970), 516-522
DOI: https://doi.org/10.1090/qam/261095
MathSciNet review: 261095
Full-text PDF Free Access

References | Additional Information

T. V. Davies and Eleanor M. James, Nonlinear differential equations, Addison-Wesley Publishing Co., Reading, Mass.-London-Toronto, Ont., 1966. MR 0199482
Stephen P. Diliberto, Bounds for periods of periodic solutions, Contributions to the theory of nonlinear oscillations, vol. 3, Annals of Mathematics Studies, no. 36, Princeton University Press, Princeton, N. J., 1956, pp. 269–275. MR 0080817
Dario Graffi, Sopra alcune equazioni differenziali della radiotecnica, Mem. Accad. Sci. Ist. Bologna Cl. Sci. Fis. (9) 9 (1942), 145–153 (Italian). MR 24551
Peter J. Lau, Bounds for the lengths and periods of closed orbits of two-dimensional autonomous systems of differential equations, J. Differential Equations 3 (1967), 330–342. MR 212281, DOI https://doi.org/10.1016/0022-0396%2867%2990036-8
Peter J. Ponzo and Nelson Wax, On certain relaxation oscillations: Asymptotic solutions, J. Soc. Indust. Appl. Math. 13 (1965), 740–766. MR 186874

G. Sansone and R. Conti, Nonlinear differential equations, Pergamon Press, Oxford, 1964

Minoru Urabe, Nonlinear autonomous oscillations: Analytical theory, Mathematics in Science and Engineering, Vol. 34, Academic Press, New York-London, 1967. MR 0219820