Geodesic
Periodic solutions to second order differential equations of Liénard type with jumping nonlinearities
Commentationes Mathematicae Universitatis Carolinae, Tome 28 (1987) no. 1, pp. 33-41
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 34B15, 34C25 
@article{CMUC_1987_28_1_a4,
     author = {Fonda, Alessandro and Zanolin, Fabio},
     title = {Periodic solutions to second order differential equations of {Li\'enard} type with jumping nonlinearities},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {33--41},
     year = {1987},
     volume = {28},
     number = {1},
     mrnumber = {889766},
     zbl = {0625.34046},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1987_28_1_a4/}
}
TY  - JOUR
AU  - Fonda, Alessandro
AU  - Zanolin, Fabio
TI  - Periodic solutions to second order differential equations of Liénard type with jumping nonlinearities
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1987
SP  - 33
EP  - 41
VL  - 28
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/CMUC_1987_28_1_a4/
LA  - en
ID  - CMUC_1987_28_1_a4
ER  - 
%0 Journal Article
%A Fonda, Alessandro
%A Zanolin, Fabio
%T Periodic solutions to second order differential equations of Liénard type with jumping nonlinearities
%J Commentationes Mathematicae Universitatis Carolinae
%D 1987
%P 33-41
%V 28
%N 1
%U http://geodesic.mathdoc.fr/item/CMUC_1987_28_1_a4/
%G en
%F CMUC_1987_28_1_a4
Fonda, Alessandro; Zanolin, Fabio. Periodic solutions to second order differential equations of Liénard type with jumping nonlinearities. Commentationes Mathematicae Universitatis Carolinae, Tome 28 (1987) no. 1, pp. 33-41. http://geodesic.mathdoc.fr/item/CMUC_1987_28_1_a4/

[ 1] J. BEBERNES M. MARTELLI: Periodic solutions for Liénard systems. Boll. Un. Mat. Ital. (5) 16 - A (1979), 398 - 405. | MR

[ 2] E. N. DANCER: Boundary-value problems for weakly nonlinear ordinary differential equations. Bull. Austral. Math. Soc. 15 (1976), 321 - 328. | MR | Zbl

[ 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. | MR | Zbl

[ 4] E. N. DANCER: On the ranges of certain damped nonlinear differential equations. Ann. Mat. Pura Appl. (4) 119 (1979), 281 - 295. | MR | Zbl

[ 5] P. DRÁBEK: Remarks on nonlinear noncoercive problems with jumping nonlinearities. Comment. Math. Univ. Carolinae 25 (1984), 373 - 3.99. | MR

[ 6] P. DRÁBEK S. INVERNIZZI: On the periodic BVP for the forced Duffing equation with jumping nonlinearity. Nonlinear Analysis 10 (1986), 643 - 650. | MR

[ 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

[ 8] S. FUČÍK: Boundary value problems with jumping nonlinearities. Časopis Pěst. Mat. 101 (1976), 69 - 87. | MR

[ 9] S. FUČÍK: Solvability of Nonlinear Equations and Boundary Value Problems. Reidel P. Company, Dordrecht - Boston, 1980. | MR

[10] R. GAINES J. MAWHIN: Coincidence degree and nonlinear differential equations. Lecture Notes in Mathematics 568, Springer-Verlag, Berlin - New York, 1977. | MR

[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

[12] S. INVERNIZZI: A note on nonuniform nonresonance for jumping nonlinearities. Comment. Math. Univ. Carolinae 27 (1986), 285 - 291. | MR | Zbl

[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

[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. | MR | Zbl

[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

[16] R. REISSIG: Extensions of some results concerning the generalized Liénard equation. Ann. Mat. Pura Appl. (4) 104 (1975), 269 - 281. | MR

[17] R. REISSIG G. SANSONE R. CONTI: Qualitative Theorie nichtlinearer Differentialgleichungen. Cremonese, Roma, 1963. | MR

[18] G. SANSONE R. CONTI: Equazioni differenziali non lineari. Cremonese, Roma, 1956. | MR