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Torres, Pedro J.

Bounded solutions in singular equations of repulsive type. (English) Zbl 1126.34326

Nonlinear Anal., Theory Methods Appl. 32, No. 1, 117-125 (1998).

Cited in 11 Documents

MSC:

34C11 Growth and boundedness of solutions to ordinary differential equations
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References:

[1] Lazer, A. C., On Schauder’s fixed point theorem and forced second order nonlinear oscillations, J. Math. Anal. Appl., 21, 421-425 (1968) · Zbl 0155.14001
[2] Ahmad, S., A nonstandard resonance problem for ordinary differential equations, Trans. Am. Math. Soc., 323, 857-875 (1991) · Zbl 0719.34062
[3] Ortega, R., A boundedness result of Landesman-Lazer type, Differential and Integral Equations, 8, 729-734 (1995) · Zbl 0817.34017
[4] Mawhin, J., Topological degree and boundary value problems for nonlinear differential equations. Preprint.; Mawhin, J., Topological degree and boundary value problems for nonlinear differential equations. Preprint. · Zbl 0798.34025
[5] Massera, J. L., The existence of periodic solutions of system of differential equations, Duke Math. J., 17, 457-475 (1950) · Zbl 0038.25002
[6] Alonso, J. M.; Ortega, R., Boundedness and global asymptotic stability of a forced oscillator, Nonlinear Analysis, 25, 297-309 (1995) · Zbl 0826.34043
[7] Lazer, A. C.; Solimini, S., On periodic solutions of nonlinear differential equations with singularities, (Proc. Amer. Math. Soc., 99 (1987)), 109-114 · Zbl 0616.34033
[8] Habets, P. and Sanchez, L., Periodic solutions of some Liénard equations with singularities. Proc. Amer. Math. Soc.; Habets, P. and Sanchez, L., Periodic solutions of some Liénard equations with singularities. Proc. Amer. Math. Soc. · Zbl 0695.34036
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