Periodic solutions to second order differential equations of Liénard type with jumping nonlinearities

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1. J. BEBERNES M. MARTELLI, Periodic solutions for Liénard systems, Boll. Un. Mat. Ital. (5) 16 - A (1979), 398 - 405. (1979) MR0541782
2. E. N. DANCER, Boundary-value problems for weakly nonlinear ordinary differential equations, Bull. Austral. Math. Soc. 15 (1976), 321 - 328. (1976) Zbl0342.34007MR0430384
3. E. N. DANCER, On the Dirichlet problem for weakly non-linear elliptic partial differential equations, Proc. Roy. Soc. Edinburgh (Ser. A) 76 (1977), 283 - 300. (1977) Zbl0351.35037MR0499709
4. E. N. DANCER, On the ranges of certain damped nonlinear differential equations, Ann. Mat. Pura Appl. (4) 119 (1979), 281 - 295. (1979) Zbl0416.34029MR0551231
5. P. DRÁBEK, Remarks on nonlinear noncoercive problems with jumping nonlinearities, Comment. Math. Univ. Carolinae 25 (1984), 373 - 3.99. (1984) MR0775559
6. P. DRÁBEK S. INVERNIZZI, On the periodic BVP for the forced Duffing equation with jumping nonlinearity, Nonlinear Analysis 10 (1986), 643 - 650. (1986) MR0849954
7. C. FABRY J. MAWHIN M. N. NKASHAMA, A multiplicity result for periodic solutions of forced nonlinear second order ordinary differential equations, Bull. London Math. Soc. 18 (1986), 173 - 180. (1986) MR0818822
8. S. FUČÍK, Boundary value problems with jumping nonlinearities, Časopis Pěst. Mat. 101 (1976), 69 - 87. (1976) MR0447688
9. S. FUČÍK, Solvability of Nonlinear Equations and Boundary Value Problems, Reidel P. Company, Dordrecht - Boston, 1980. (1980) MR0620638
10. R. GAINES J. MAWHIN, Coincidence degree and nonlinear differential equations, Lecture Notes in Mathematics 568, Springer-Verlag, Berlin - New York, 1977. (1977) MR0637067
11. T. HARA T. YONEYAMA, On the global center of generalized Liénard equation and its application to stability problems, Funkcialaj Ekvacioj 28 (1985), 171 - 192. (1985) MR0816825
12. S. INVERNIZZI, A note on nonuniform nonresonance for jumping nonlinearities, Comment. Math. Univ. Carolinae 27 (1986), 285 - 291. (1986) Zbl0603.34016MR0857548
13. J. MAWHIN, Periodic solutions of nonlinear telegraph equation. In "Dynamical Systems", (A. R. Bednarek and L. Cesari, ed.), Academic Press, New York 1977, 193 - 210. (1977) MR0460914
14. J. MAWHIN, Topological degree methods in nonlinear boundary value problems, CBMS n. 40, Reg. Conf. Ser. in Math., Amer. Math. Soc, Providence, R.I., 1979. (1979) Zbl0414.34025MR0525202
15. S. MIZOHATA S. YAMAGUTI, On the existence of periodic solutions of the nonlinear differential equation $x"+\alpha \left(x\right)x*+\phi \left(x\right)=p\left(t\right)$, Mem. Coll. Sci. Univ. Kyoto (Sec. A) 27 (1952), 109 - 113. (1952) MR0054127
16. R. REISSIG, Extensions of some results concerning the generalized Liénard equation, Ann. Mat. Pura Appl. (4) 104 (1975), 269 - 281. (1975) MR0379997
17. R. REISSIG G. SANSONE R. CONTI, Qualitative Theorie nichtlinearer Differentialgleichungen, Cremonese, Roma, 1963. (1963) MR0158121
18. G. SANSONE R. CONTI, Equazioni differenziali non lineari, Cremonese, Roma, 1956. (1956) MR0088607