Generalized upper and lower solution method for the forced duffing equation

Proceedings of the American Mathematical Society

Volumn 125, Issue 2, 1997, Pages 397-406

  Wang, Chengwen ^a,b  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21444443143     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-97-03947-6     Document Type: Article

References (7)

1. Gains, R.E., and Mawhin, J., Concidence Degree and Nonlinear Differential Equations. Lecture Notes in Mathematics 56. Springer, Berlin, 1977. MR 58:30551
2. Habets, P., and Metzen, G., Existence of periodic solutions of Duffing equations, J. of Diff. Eqns. Vol 78(1989) pp. 1-32. MR 90c:34040
3. Habets, P., and Sanchez, L., Periodic solutions of some Liénard equations with singularities. Proceedings of the American Mathematical Society, Vol 109(1990) pp. 1035-1044. MR 90k:34049
4. Hartman.P., Ordinary Differential Equations. Second Edition. Birkhäuser, Boston, 1982. MR 83e:34002
5. Mawhin, J., Points fixes, ponits critiques et problème aux limites. Semin. Math. Sup. no. 92. Press Univ. de Montreal, 1985.
6. Nkashama, M.N., A generalized upper and lower solutions method and multiplicity results for nonlinear first-order ordinary differential equations. J. of Math. Anal. Applic. Vol 140(1989) pp. 381-395. MR 90e:34006
7. Nieto, J.J.,et al A generalization of the monotone iterative technique for nonlinear second order oeriodic boundary value problem. J. of Math. Anal. Applic. Vol 151(1990) pp. 181-189. MR 91h:34025