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Expension of some results concerning the generalized Lienard equation. (English) Zbl 0313.34037


MSC:

34C25 Periodic solutions to ordinary differential equations
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[1] Burton, T. A.; Townsend, C. G., On the generalized Liénard equation with forcing term, J. Differential Equations, 4, 620-633 (1968) · Zbl 0174.13602 · doi:10.1016/0022-0396(68)90012-0
[2] Faure, R., Solutions périodiques d’équations différentielles et méthode de Leray-Schauder (Cas de vibrations forcées), Ann. Inst. Fourier, 14, 195-204 (1964) · Zbl 0134.30704
[3] Graef, J. R., On the generalized Liénard equation with negative damping, J. Differential Equations, 12, 34-62 (1972) · Zbl 0254.34038 · doi:10.1016/0022-0396(72)90004-6
[4] Graffi, D., Sulle oscillazioni forzale nella meccanica non-lineare, Riv. Mat. Univ. Parma, 3, 317-326 (1952) · Zbl 0049.18501
[5] Lazer, A. C., On Schauder’s fixed point theorem and forced second-order nonlinear oscillations, J. Math. Analysis Appl., 21, 421-426 (1968) · Zbl 0155.14001 · doi:10.1016/0022-247X(68)90225-4
[6] Mawhin, J., Degré topologique et solutions périodiques des systèmes différentiels non linéaires, Bull. Soc. Royale Sci. Liège, 38, 308-398 (1969) · Zbl 0186.41704
[7] Mawhin, J., An extension of a theorem of A. C. Lazer on forced nonlinear oscillations, J. Math. Analysis Appl., 40, 20-29 (1972) · Zbl 0245.34035 · doi:10.1016/0022-247X(72)90025-X
[8] R. Reissig - G. Sansone - R. Conti,Nichtlineare Differentialgleichungen höherer Ordnung, Roma, 1969. · Zbl 0172.10801
[9] G. Sansone - R. Conti,Nonlinear differential equations (translated from the Italian byA. H. Diamond), Oxford, 1964. · Zbl 0128.08403
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