Further results for some third order differential systems with nonlinear dissipation
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2004)
- Volume: 43, Issue: 1, page 155-169
- ISSN: 0231-9721
Access Full Article
topAbstract
topHow to cite
topReferences
top- Afuwape A. U., Omari P., Zanolin F., Nonlinear perturbations of differential operators with nontrivial kernel and applications to third-order periodic boundary value problems, J. Math. Anal. Appl. 143, 1 (1989), 35–56. (1989) Zbl0695.47044MR1019448
- Andres J., Vlček V., Periodic solutions of the third order parametric differential equations involving large nonlinearities, Math. Slovaca 41, 4 (1991), 337–349. (1991) Zbl0753.34025MR1149042
- Conti G., Iannacci R., Nkashama M. N., Periodic solutions of Liénard systems at resonance, Ann. Math. Pura. Appl. 141, 4 (1985), 313–327. (1985) Zbl0577.34035MR0798178
- Ezeilo J. O. C., Nkashama M. N., Resonant and nonresonant oscillations for third-order nonlinear ordinary differential equations, Nonlinear Analysis, T.M.A. 12, 10 (1988), 1029–1046. (1988) MR0962767
- Ezeilo J. O. C., Omari P., Nonresonant oscillations for some third-order Differential equations II, J. Nigerian Math. Soc. 8 (1989), 25–48. (1989)
- Mawhin J., Topological Degree Methods in Nonlinear Boundary Value Problems, In: CBMS Regional Conference Series in Mathematics 40 (1979), American Math. Soc., Providence, R.I. (1979) Zbl0414.34025MR0525202
- Mawhin J., Ward J. R., Nonuniform nonresonance conditions at the two first eigenvalues for periodic solutions of forced Liénard and Duffing equations, Rocky Mount. J. Math. 12, 4 (1982), 643–653. (1982) Zbl0536.34022MR0683859
- Mawhin J., Ward J. R., Periodic solutions of some forced Liénard differential equations at resonance, Arch. Math. 41 (1983), 337–351. (1983) Zbl0537.34037MR0731606
- Minhós F., Periodic solutions for a third order differential equation under conditions on the potential, Portugaliae Math. 55, 4 (1998), 475–484. (1998) Zbl0923.34045MR1672255
- Tejumola H. O., Afuwape A. U., Periodic solutions of certain third-order nonlinear differential systems with delay, I.C.T.P. Trieste, Preprint IC/90/418, (1990). (1990)
- Ukpera A.S., Periodicity results for strongly nonlinear systems of third order boundary value problems, Anal. Stiint. ale Univ. “Al. I. Cuza" 46 (2000), 215–230. Zbl1009.34013MR1880207
- Ukpera A.S., Periodic solutions of certain third order differential systems with nonlinear dissipation, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 41 (2002), 147–159. Zbl1040.34049MR1968227