On the qualitative behaviour of solutions of Liénard equation
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Tài liệu tham khảo
Reissig, 1963
Cherkas, 1977, Estimation of the number of limit cycles of autonomous system, Differential Equations, 13, 529
Burton, 1968, On the generalized Liénard equation with forcing term, J. Differential Equations, 4, 620, 10.1016/0022-0396(68)90012-0
Burton, 1971, Stability regions of the forced Liénard equation, J. London Math. Soc., 3, 393, 10.1112/jlms/s2-3.3.393
Graef, 1972, On the generalized Liénard equation with negative damping, J. Differential Equations, 12, 34, 10.1016/0022-0396(72)90004-6
Ponzo, 1971, On periodic solutions of the system x′ = y − F(x), y′ = −g(x), J. Differential Equations, 10, 262, 10.1016/0022-0396(71)90050-7
Utz, 1956, Boundedness and periodicity of solutions of the generalized Liénard equation, Ann. Mat. Pura Appl., 42, 313, 10.1007/BF02411883
Hara, 1985, On the global center of generalized Liénard equation and its application to stability problems, Funkcial. Ekvac., 28, 171
Levinson, 1942, A general equation for relaxation oscillations, Duke Math. J., 9, 382, 10.1215/S0012-7094-42-00928-1
Filippov, 1952, Sufficient conditions for the existence of stable limit cycles of secondorder equations, Mat. Sb., 30, 171
Dragilev, 1952, Periodic solutions of the differential equation of nonlinear oscillations, Prikl. Mat. Mekh., 12, 85
Villari, 1982, Periodic solutions of Liénard equation, J. Math. Anal. Appl., 86, 379, 10.1016/0022-247X(82)90229-3
Zhang, 1985
Zanolin, 1983, On forced periodic oscillations in Dissipative Liénard System, 69, 51
