MR1795976
Papini, Duccio
Duccio PAPINI
Periodic solutions for a class of Li\'enard equations
Funkcialaj Ekvacioj. Serio Internacia
43
2000
303--322
http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol43/fe43-2-7.pdf
http://fe.math.kobe-u.ac.jp/FE/no-infty-pdf.pdf
http://www.ams.org/mathscinet-getitem?mr=MR1795976
43-303
2000
Periodic Solutions for a Class of Liénard Equations
Duccio PAPINI
Duccio PAPINI
1
Arino, O.; Cherif, A. A.
On the Existence of Periodic Solutions for a Class of Nonlinearly Forced Systems
Funkc. Ekvac.
35
1992
485-503
MR1199469
1199469
2
Bahri, A.; Berestycki, H.
Existence of Forced Oscillations for Some Nonlinear Differential Equations
Comm. Pure Appl. Math.
37
1984
403-442
MR0745324
3
Burton, T. A.; Townsend, C. G.
On the Generalized Liénard Equation with Forcing Term
J. Differential Equations
4
1968
620-633
MR0232042
4
Capietto, A.; Mawhin, J.; Zanolin, F.
A Continuation Approach to Superlinear Boundary Value Problems
J. Differential Equations
88
1990
347-395
MR1081252
5
Conti, R.
Soluzioni Periodiche dell'Equazione di Liénard Generalizzata. Esistenza ed Unicita
Boll. Un. Mat. Ital.
3
1952
111-118
MR0051998
6
Dieckerhoff, R.; Zender, E.
Boundedness of Solutions via the Twist-Theorem
Ann. Scuola Norm. Sup. Pisa, Cl. Sci.
14
1987
79-95
MR0937537
7
Ding, W.
Fixed Points of Twist Mappings and Periodic Solutions of Ordinary Differential Equations
Acta Math. Sinica
25
1982
227-235 (Chinese)
MR0677834
8
Ding, T.; Zanolin, F.
Periodic Solutions of Duffing's Equations with Superquadratic Potential
J. Differential Equations
97
1992
328-378
MR1167538
9
Filippov, A. F.
Sufficient Conditions for the Existence of Stable Limit Cycles of Second Order Equations
Mat. Sb.
30(72)
1952
171-180 (Russian)
MR0047869
10
Graef, J. R.
On the Generalized Liénard Equation with negative Dumping
J. Differential Equations
12
1972
34-72
MR0328200
11
Hale, J. K.
Ordinary Differential Equations
Pure and Applied Mathematics, Vol XXI, Robert E. Krieger Publishing Company, Inc.
1980
MR0419901
12
Hara, T.; Yoneyama, T.
On the Global Center of Generalized Liénard Equation and Its Application to Stability Problems
Funkcial. Ekvac.
28
1985
171-192
MR0816825
0816825
13
Hartman, P.
On Boundary Value Problems for Superlinear Second order Differential Equations
J. Differential Equations
26
1977
37-53
MR0477242
14
Liu, B.
Existence of Subharmonic Solutions of Any Order of a Nonconservative System
Adv. in Math. (China)
20
1991
103-108
MR1106724
15
Liu, B.
An Application of KAM Theorem of Reversible Systems
Sci. China Ser. A
34
1991
1068-1078
MR1160743
16
Liu, B.; You, J.
Quasiperiodic Solutions for Nonlinear Differential Equations of Second Order with Symmetry
Acta Math. Sinica, New Series
10
1994
231-242
MR1415694
17
Mawhin, J.
An Extension of a Theorem of A. C. Lazer on Forced Nonlinear Oscillations
J. Math. Anal. Appl.
40
1972
20-29
MR0313587
18
Mawhin, J.; Ward, J. R.
Periodic Solutions of Some Forced Liénard Differential Equations at Resonance
Arch. Math.
41
1983
337-351
MR0731606
19
Mazzi, L.; Sabatini, M.
A Characterization of Centres via First Integrals
J. Differential Equation
76
1988
222-237
MR0969422
20
Morris, G. R.
A Case of Boundedness of Littlewood's Problem on Oscillatory Differential Equations
Bull. Austral. Math. Soc.
14
1976
71-93
MR0402198
21
Omari, P.; Villari, Gab.; Zanolin, F.
Periodic Solutions of the Liénard Equation with One-sided Growth Restrictions
J. Differential Equations
67
1987
278-293
MR0879698
22
Opial, Z.
Sur un Theoreme de A. Filippov
Ann. Polon. Math.
5
1958
67-75
MR0097584
23
Rebelo, C.; Zanolin, F.
Multiplicity Results for Periodic Solutions of Second Order ODEs with Asymmetric Nonlinearities
Trans. Amer. Math. Soc.
348
1996
2349-2389
MR1344211
24
Struwe, M.
Multiple Solutions of Anticoercive Boundary Value Problems for a Class of Ordinary Differential Equations of Second Order
J. Differential Equation
37
1980
285-295
MR0587226
25
Sugie, J.; Hara, T.
Classification of Global Phase Portraits of a System of Liénard Type
J. Math. Anal. Appl.
193
1995
264-281
MR1338512
26
Sugie, J.; Hara, T.
Non-existence of Periodic Solutions of the Liénard System
J. Math. Anal. Appl.
159
1991
224-236
MR1119432
27
Sugie, J.; Yoneyama, T.
On the Liénard System Which Has No Periodic Solutions
Math. Proc. Camb. Phil. Soc.
113
1993
413-422
MR1198422
28
Villari, Gab.; Zanolin, F.
On Forced Nonlinear Oscillations of a Second Order Equation with Strong Restoring Term
Funkcial. Ekvac.
31
1988
383-395
MR0987793
0987793
29
Villari, Gab.; Zanolin, F.
On a Dynamical System in the Liénard Plane. Necessary and Sufficient Conditions for the Intersection with the Vertical Isocline And Applications
Funkcial. Ekvac.
33
1990
19-38
MR1065466
1065466
30
Villari, Gab.; Zanolin, F., A Continuation Theorem with Applications to Periodically Forced Liénard Equations in Presence of a Separatrix, Ann. Mat. Pura Appl., to appear
MR1877624