| Title:
|
Periodic solutions to second order differential equations of Liénard type with jumping nonlinearities (English) |
| Author:
|
Fonda, Alessandro |
| Author:
|
Zanolin, Fabio |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
28 |
| Issue:
|
1 |
| Year:
|
1987 |
| Pages:
|
33-41 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34B15 |
| MSC:
|
34C25 |
| idZBL:
|
Zbl 0625.34046 |
| idMR:
|
MR889766 |
| . |
| Date available:
|
2008-06-05T21:27:27Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106507 |
| . |
| Reference:
|
[ 1] J. BEBERNES M. MARTELLI: Periodic solutions for Liénard systems.Boll. Un. Mat. Ital. (5) 16 - A (1979), 398 - 405. MR 0541782 |
| Reference:
|
[ 2] E. N. DANCER: Boundary-value problems for weakly nonlinear ordinary differential equations.Bull. Austral. Math. Soc. 15 (1976), 321 - 328. Zbl 0342.34007, MR 0430384 |
| Reference:
|
[ 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. Zbl 0351.35037, MR 0499709 |
| Reference:
|
[ 4] E. N. DANCER: On the ranges of certain damped nonlinear differential equations.Ann. Mat. Pura Appl. (4) 119 (1979), 281 - 295. Zbl 0416.34029, MR 0551231 |
| Reference:
|
[ 5] P. DRÁBEK: Remarks on nonlinear noncoercive problems with jumping nonlinearities.Comment. Math. Univ. Carolinae 25 (1984), 373 - 3.99. MR 0775559 |
| Reference:
|
[ 6] P. DRÁBEK S. INVERNIZZI: On the periodic BVP for the forced Duffing equation with jumping nonlinearity.Nonlinear Analysis 10 (1986), 643 - 650. MR 0849954 |
| Reference:
|
[ 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. MR 0818822 |
| Reference:
|
[ 8] S. FUČÍK: Boundary value problems with jumping nonlinearities.Časopis Pěst. Mat. 101 (1976), 69 - 87. MR 0447688 |
| Reference:
|
[ 9] S. FUČÍK: Solvability of Nonlinear Equations and Boundary Value Problems.Reidel P. Company, Dordrecht - Boston, 1980. MR 0620638 |
| Reference:
|
[10] R. GAINES J. MAWHIN: Coincidence degree and nonlinear differential equations.Lecture Notes in Mathematics 568, Springer-Verlag, Berlin - New York, 1977. MR 0637067 |
| Reference:
|
[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. MR 0816825 |
| Reference:
|
[12] S. INVERNIZZI: A note on nonuniform nonresonance for jumping nonlinearities.Comment. Math. Univ. Carolinae 27 (1986), 285 - 291. Zbl 0603.34016, MR 0857548 |
| Reference:
|
[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. MR 0460914 |
| Reference:
|
[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. Zbl 0414.34025, MR 0525202 |
| Reference:
|
[15] S. MIZOHATA S. YAMAGUTI: On the existence of periodic solutions of the nonlinear differential equation $x" + \alpha (x)x* + \phi (x) = p(t)$.Mem. Coll. Sci. Univ. Kyoto (Sec. A) 27 (1952), 109 - 113. MR 0054127 |
| Reference:
|
[16] R. REISSIG: Extensions of some results concerning the generalized Liénard equation.Ann. Mat. Pura Appl. (4) 104 (1975), 269 - 281. MR 0379997 |
| Reference:
|
[17] R. REISSIG G. SANSONE R. CONTI: Qualitative Theorie nichtlinearer Differentialgleichungen.Cremonese, Roma, 1963. MR 0158121 |
| Reference:
|
[18] G. SANSONE R. CONTI: Equazioni differenziali non lineari.Cremonese, Roma, 1956. MR 0088607 |
| . |
